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If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth

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  • čas přidán 14. 08. 2024
  • If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth terms. Arithmetic Progression class 10. #arithmeticprogresion #arithmeticprogressionclass10 #arithmeticprogressionavijainclasses #avijainclasses
    We have started a series of important questions for #arithmeticprogression for class 10 where you will get almost all the extra questions outside the NCERT that you need to study. The questions with their links are undermentioned and all the students are recommended to go through them in the order mentioned.
    Question 1:
    If the pth term of an AP is q and the qth term is p, then show that the nth term is (p+q-n).
    • If the pth term of an ...
    Question 2:
    If the mth term of an AP is 1/n and the nth term is 1/m, then show that the mnth term is 1.
    • If the mth term of an ...
    Question 3:
    If m times the mth term of an ap is equal to n times its nth term, show that (m+n)th term is zero.
    • If m times the mth ter...
    Question 4:
    If 10 times the 10th term of an ap is equal to 15 times the 15th term show that its 25th term is 0.
    • If 10 times the 10th t...
    Question 5:
    The sum of three terms of an ap is 21 and their product is 231, find the numbers.
    • The sum of three terms...
    Question 6:
    The sum of three terms of an ap is 21 and the product of the first and the third term exceeds the second by 6, find the numbers.
    • The sum of three terms...
    Question 7:
    Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.
    • Find four numbers in A...
    Question 8:
    Divide 56 in four parts in AP such that the ratio of the product of their extremes to the product of their means is 5:6.
    • Divide 56 in four part...
    Question 9:
    In an AP prove that tm+n + tm-n = 2tm.
    • In an AP prove that tm...
    Question 10:
    Determine k so that k^2+4k+8, 2k^2+3k+6 and 3k^2+4k+4 are three consecutive terms of an AP.
    • Determine k so that k^...
    Question 11:
    The pth term of an AP is 1/q and the qth term is 1/p. Show that the sum of its pq terms is 1/2(p+q).
    • The pth term of an AP ...
    Question 12:
    If the sum of first m terms of an ap is the same as the sum of its first n terms, show that the sum of its first (m+n) terms is zero.
    • If the sum of first m ...
    Question 13:
    If the sum of first m terms of an AP be n and the sum of first n terms be m, then show that the sum of its first (m+n) terms is -(m+n).
    • If the sum of first m ...
    Question 14:
    If the sum of first n, 2n and 3n terms of an AP be S1, S2 and S3 respectively, then prove that S3=3(S2-S1).
    • If the sum of first n,...
    Question 15:
    If Sn denotes the sum of first n terms of an AP, prove that S12=3(S8-S4).
    • If Sn denotes the sum ...
    Question 16:
    If the pth, qth and rth term of an AP be a,b and c respectively, show that a(q-r)+b(r-p)+c(p-q)=0.
    • If the pth, qth and rt...
    Question 17:
    If the 8th term of an AP is zero, prove that its 38th term is triple of its 18th term.
    • If the 8th term of an ...
    Question 18:
    If (m+1)th term of AP is twice the (n+1)th term, prove that (3m+1)th term is twice the (m+n+1)th term.
    • If (m+1)th term of AP ...
    Question 19:
    Find the sum of 1-1/n + 1-2/n + 1-3/n + .....+ up to n terms.
    • Find the sum of 1-1/n ...
    Question 20:
    Exercise 5.3 Question 11 Class 10.If the sum of first n terms of an AP be 4n-n^2, then find the nth term.
    • If the sum of first n ...
    Question 21:
    Show that the sum of an AP whose first term is a, the second term is b and the last term is l is equal to (a+l)(b+l-2a)/2(b-a).
    • Show that the sum of a...
    Question 22:
    If the ratio of the sum of first n terms of two APs is (7n+1):(4n+27), find the ratio of their mth terms.
    • If the ratio of the su...
    Question 23:
    If the ratio of the sum of m and n terms of an AP be m^2:n^2, show that the ratio of its mth and nth term is (2m-1);(2n-1).
    • If the ratio of the su...

Komentáře • 247

  • @kamlamishra8015
    @kamlamishra8015 Před 3 lety +156

    This is called a brilliant explanation this type of questions need...

  • @imaginebeingmayank
    @imaginebeingmayank Před rokem +27

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  • @istiakahmed7470
    @istiakahmed7470 Před 3 lety +52

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    • @AviJainClasses
      @AviJainClasses  Před 3 lety +19

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    • @mdshami1583
      @mdshami1583 Před 2 lety

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    • @Divyanshu._Soni
      @Divyanshu._Soni Před 8 měsíci

      ​@@AviJainClasses I really love your teaching technique sir, thanks alot for explaining us the question 🙂

  • @sandeshgupta9989
    @sandeshgupta9989 Před 2 lety +5

    Nice video Finally I tried to get full marks in tomorrow Maths board exam
    Thank You Sir.

  • @vishitamordhaya4758
    @vishitamordhaya4758 Před 3 lety +7

    Thank you sir..ur explanation is very understanding 😊🙏

  • @R....editz4
    @R....editz4 Před 2 lety +2

    Charan sparsh sir 🙏
    Aap sach mai kamal ke teacher hai
    Aap bhut achha pdate hai mujhe sab samajh mai aaya 👍

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    @aeroplane_enthusiast Před 2 lety +3

    when the world needed him the most he came in and saved the day

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    @kuldip4296 Před 3 lety +3

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  • @bhartiyadav727
    @bhartiyadav727 Před rokem +1

    Greatest explaination 🙏

  • @swatisrivastava9222
    @swatisrivastava9222 Před 4 lety +5

    Best explanation

  • @AnneDulong
    @AnneDulong Před 2 lety +3

    Useful and effective explanation. Thank you very much.

  • @subhasritapadhy8897
    @subhasritapadhy8897 Před rokem +1

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  • @Undefined_infinity
    @Undefined_infinity Před rokem +2

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  • @roshnitiwari5074
    @roshnitiwari5074 Před rokem +3

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  • @u.k8427
    @u.k8427 Před rokem +2

    Fantastic explanation ❤❤❤ love you sir

  • @AviBro-Jod
    @AviBro-Jod Před 5 měsíci +1

    Thank You So much sir. This question takes so many times..

  • @letusknowtheright7494
    @letusknowtheright7494 Před 4 lety +4

    superb teacher you are . Sir 🙏🙏🙏

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    @priyalbhardwaj696 Před 2 lety +2

    U are Just great mind blowing superbly amazing 😃

  • @richamishra3594
    @richamishra3594 Před 2 lety +2

    Thank you so much sir for this wonderful explanation🙏

  • @Hellloooooo1008
    @Hellloooooo1008 Před 6 měsíci +1

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  • @isanurbenjamin2031
    @isanurbenjamin2031 Před 3 lety +3

    Amazing Explanation!
    Thank You So Much Sir!

  • @creativeart2864
    @creativeart2864 Před 2 lety +2

    👀👀
    Yrr aisa lagta hai sir apne jamane mai topper rahe honge i mean srsly bilkul topper look and way of explanaing is just perfect !!!!

    • @Goodboy13712
      @Goodboy13712 Před 2 lety +2

      Maybe 🤧

    • @devil.-_
      @devil.-_ Před 2 lety +2

      Exactly looks like a serious sincere topper student

  • @STARLORDGAMINGOFFICIAL
    @STARLORDGAMINGOFFICIAL Před 2 lety +2

    Hats off 🎩

  • @herrypatel5756
    @herrypatel5756 Před 3 lety +1

    This is the best explanation I have ever seen for this type of Question

  • @kamlamishra8015
    @kamlamishra8015 Před 3 lety +3

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  • @piyushgajraj3214
    @piyushgajraj3214 Před 2 lety

    Bikul Shaandaar sir 👍👍😄😄👏👏

  • @shindustani9243
    @shindustani9243 Před 2 lety +2

    What a great explanation sir 🙏

  • @Hidden__Gem
    @Hidden__Gem Před 5 měsíci +1

    nice explanation MAN!!!

  • @ri5EsH
    @ri5EsH Před 2 lety +2

    Why we are putting n-1/2 = m-1
    Pls explain

  • @wavy7572
    @wavy7572 Před 2 lety +1

    yooooohoooo excellent sir , main thing is that you taught us with concept thankyou. sir

  • @thegamechanger4734
    @thegamechanger4734 Před 3 lety +2

    Chikna explainaton thanks sir best 🙏🙏

  • @kashubaghel3311
    @kashubaghel3311 Před 3 lety +4

    Greattt

  • @tanishkagupta2394
    @tanishkagupta2394 Před 3 lety +3

    THANKS A LOT SIR😊!

  • @angelsharma5548
    @angelsharma5548 Před 2 lety +1

    Thank you sir🙏

  • @MrNotgood900
    @MrNotgood900 Před rokem +1

    Best explanation for this question, sir.👍👍👍

  • @AkashSethi-qd4vv
    @AkashSethi-qd4vv Před 4 lety +2

    Super fantastic teaching sir 👌👌👏💪

  • @saniakhan11cpcm10
    @saniakhan11cpcm10 Před 3 lety +26

    You have explained in detail hats off to you finally I got to understand it otherwise I was doing rattafication of this question haha😂

  • @sunitagupta8355
    @sunitagupta8355 Před 2 lety +7

    Great explanation!!!!!💕💕 I appreciate your hard work. Very well explained . I understand this so easily now.........

  • @royaljaat8076
    @royaljaat8076 Před 3 lety +1

    Thankyou so much sir 🙏and please continue to make videos on
    every kind of maths question. Salute hai sir aapko 🙋‍♂️.

  • @Productivity13
    @Productivity13 Před 3 lety +3

    Thank you 😘

  • @rajkumarsonarkar1548
    @rajkumarsonarkar1548 Před 3 lety +2

    well explained sir👌👌

  • @kaurharmanpreet928
    @kaurharmanpreet928 Před 2 lety +1

    Thankuuuuu sooo muchh🥰

  • @apekshan5397
    @apekshan5397 Před 7 měsíci

    Notorious question indeed. understood only cuz of this man hats off

  • @SaqifRazviThembps
    @SaqifRazviThembps Před rokem +1

    You are one of the most underrated guys on CZcams.

  • @Funnynamesgirl
    @Funnynamesgirl Před 2 lety +1

    Thank you sir
    You teach very well 🙏

  • @binuthankachen1796
    @binuthankachen1796 Před 3 lety +1

    Thhx❤️❤️❤️

  • @Shilpe_e
    @Shilpe_e Před 2 lety +1

    Thankyou🎉🎉

  • @harshitakumari4665
    @harshitakumari4665 Před rokem +1

    Just awesome sir!❤️‍🔥

  • @dnath1234
    @dnath1234 Před 2 lety +1

    Nicely explained 😃

  • @arushdixit2792
    @arushdixit2792 Před 3 lety +1

    Sir bahaut mushkil se mila ye video
    Finally samaj aaya nahi to Rs aggarwal mein to direct le rakhi value n ki
    Jo mere ko smjh nahi aaya tha but aapka video dekh ke aaya

  • @Pw-ke_diwane
    @Pw-ke_diwane Před rokem

    Excellent sir
    Thankyou

  • @srinivaskumarr4976
    @srinivaskumarr4976 Před 11 měsíci

    Excellent teaching ❤❤❤

  • @user-jg1os2gg5g
    @user-jg1os2gg5g Před 9 měsíci

    awesome explanation
    !!!

  • @redarmy9548
    @redarmy9548 Před 2 lety +8

    I was not able to solve it but u made it easy. THIS IS CALLED EXPLANATION ❤❤💯💯

  • @hemlata2274
    @hemlata2274 Před 2 lety

    Thank you so much sir very good explanation

  • @AKk28382
    @AKk28382 Před 3 lety +1

    Great explanation!!

  • @ALWAYSGAMER410
    @ALWAYSGAMER410 Před 2 lety

    Great explaination sir op

  • @anjanitomar08
    @anjanitomar08 Před 6 měsíci

    This is literally the best explanation of this question

  • @Apurwa_Jaisawal
    @Apurwa_Jaisawal Před rokem

    Mind blowing explanation sirrrr 🔥🔥🔥

  • @kashishsharma5935
    @kashishsharma5935 Před 3 lety +3

    Amazing explanation!

  • @ss..gaming.1426
    @ss..gaming.1426 Před 2 lety

    Bahut accha samjhaye ise hi our question ke bhi video banana

  • @JaswantSingh-tk4ri
    @JaswantSingh-tk4ri Před 2 lety

    Superb explanation 👌👍👏👏 bhai

  • @gameplaystream4610
    @gameplaystream4610 Před rokem

    Thank you so much sir
    Love you !!

  • @ranbirsingh9155
    @ranbirsingh9155 Před 2 lety

    You are really a good teacher . After your explanation I become able to solve any que related to that particular

  • @khushbooyadav2285
    @khushbooyadav2285 Před rokem

    Sir you are the best teacher

  • @snehuupaswanshorts2836
    @snehuupaswanshorts2836 Před 2 lety +1

    Thank u so much sir ☺️ for giving me this answer ☺️ ... your explanation is very clearly....and may be very clearly understood... 😀

  • @AbhishekKumar-ok5db
    @AbhishekKumar-ok5db Před 11 měsíci

    Brilliant teacher 👏

  • @ajitkaur4395
    @ajitkaur4395 Před 2 lety +1

    Sir you are king of Maths

  • @pankaj2r
    @pankaj2r Před 2 lety

    Superb duper explained

  • @aryanthigale7012
    @aryanthigale7012 Před rokem

    Very nice explanation ❤

  • @lokendra2323
    @lokendra2323 Před 2 lety +1

    Perfect explanation..

  • @mdshami1583
    @mdshami1583 Před 2 lety +1

    What a explabnation sir (op bolte)
    Brief and simple.

  • @minhajalam6254
    @minhajalam6254 Před 9 měsíci

    Sir how we can compare the cofficients of two different equations.

  • @Susmita...857
    @Susmita...857 Před 2 lety +1

    Outstanding explanation 🥳

  • @surajsaini558
    @surajsaini558 Před 2 lety

    Bhaiya please make more videos for class 10.
    You made this question easy to me .Depth explanation

  • @innuayers6836
    @innuayers6836 Před 2 lety

    Thank you sooooo much sir....u made us understand each step 🙏

  • @shadowbg368
    @shadowbg368 Před rokem

    thank you sir, your answer made this hard question very easy, you're the best

  • @funtime-yp7pz
    @funtime-yp7pz Před rokem

    Oo sir fabulous video

  • @nitish9861
    @nitish9861 Před 3 lety +1

    Tnq sir .... great explanation.

  • @mahadevbhakt9886
    @mahadevbhakt9886 Před rokem

    Thankyou. So much 💖💝💖 sirji

  • @ununquadium4713
    @ununquadium4713 Před 3 lety +1

    Op samjhaya sir

  • @nainshi_rashiverma9653
    @nainshi_rashiverma9653 Před 2 lety +1

    Thank you very much bhaiya.....Ye question mai bahut time se try kr rhi thi pr samagh nhi aa rha tha...

  • @bhagwatnegi2667
    @bhagwatnegi2667 Před 9 měsíci

    Thank you so much sir.. ❤

  • @just-bb5hp
    @just-bb5hp Před rokem

    Brilliant sir🎉

  • @saloniii._16
    @saloniii._16 Před 2 lety +1

    Best explanation😊😊

  • @MhybridV8
    @MhybridV8 Před 5 měsíci

    Sir you cleared something for me which my tution and school teacher combined couldn’t explain or clear my doubt!,! Thank you sir!!! Tomorrow is my boards exam

  • @rishisingh-3853
    @rishisingh-3853 Před 6 měsíci +1

    Thank yo❤

  • @Akshat55-m4k
    @Akshat55-m4k Před 2 lety +1

    Thanks a lot 🙏 sirr...
    ✨✨... ✨✨✨✨💥

  • @anchitachetri8686
    @anchitachetri8686 Před 2 lety +1

    Thank you so much sir

  • @aryanewsentertainment5703

    Well done 👍

  • @funnywithtalkingtom8938
    @funnywithtalkingtom8938 Před 2 lety +1

    After watching 4 _ 5 videos .I Have found it that explained me ❤ better

  • @1opansuuXBloxfruits129
    @1opansuuXBloxfruits129 Před 5 měsíci

    bhai itna acha btaya thankyouuu

  • @subhampattnaik9738
    @subhampattnaik9738 Před 3 lety +1

    He deserves more subs

  • @pulkitsrivastava975
    @pulkitsrivastava975 Před 2 lety

    Thank you so much sir......

  • @manshishortvideos8998

    Hats off to u sir

  • @Wanketon
    @Wanketon Před 5 měsíci +1

    Best❤

  • @rajatjindal7331
    @rajatjindal7331 Před rokem

    Great broo ❣️❣️

  • @gauri3943
    @gauri3943 Před 3 lety +2

    Great explanation sir
    Puri Tarah se doubt clear Ho gye
    Thank you very much sir.....

    • @AviJainClasses
      @AviJainClasses  Před 3 lety +1

      thank you so much.. If you want to focus on extra questions, you can subscribe to this channel . I have made this channel particularly for class 10 extra questions very recently. czcams.com/channels/H6ZEyamXH88p5uMx8n2GmQ.html.

    • @gauri3943
      @gauri3943 Před 3 lety +2

      @@AviJainClasses sir Aap Sirf 10 ki maths hi padhate hai kya...

    • @AviJainClasses
      @AviJainClasses  Před 3 lety +1

      On youtube ?

    • @gauri3943
      @gauri3943 Před 3 lety +1

      @@AviJainClasses yes sir..

  • @xtreamchess2811
    @xtreamchess2811 Před 2 lety

    Excellent explaination sir thank u so much

  • @letmeko
    @letmeko Před rokem

    Brilliant explanation and very easy to understand ☺