A 9th,10th class student can solve this JEE Mains 2023 Series | Aman Sir

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  • čas pƙidĂĄn 6. 02. 2023
  • In today's video, we will be solving a Series Problem.
    these Series questions was asked in JEE Mains 2023.
    Even the 9th, and 10th class students can solve this problem.
    How will you solve this Series Problem?
    Give it a thought and apply concepts that you learned to solve Series Problem.
    If you are unable to solve it, let's check out how Aman sir will make this Series Problem very easy to solve.
    Check out the complete video to know the solution to the Inequality Problem.
    A 9th,10th class student can solve this JEE Mains 2023 Series
    Subscribe to @BHANNATMATHS for brain-twisting videos around maths.
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Komentáƙe • 123

  • @jatingomber9141
    @jatingomber9141 Pƙed rokem +7

    10th student I am and solving it made my day

  • @ritamroy5758
    @ritamroy5758 Pƙed rokem +19

    10th student here.
    Yes sir its very easy if we observe carefully.

    • @SwaroopBithu704
      @SwaroopBithu704 Pƙed rokem

      You will study Sigma notations in 11th it will make you sum any series possible

  • @munnapandey463
    @munnapandey463 Pƙed rokem +56

    Waiting for 21 March to start class 11 by our loving Aman sir ♄♄♄đŸ’ȘđŸ’ȘđŸ’Ș

  • @KoushikDas2005
    @KoushikDas2005 Pƙed rokem +2

    Great video
    Thanks a lot❀.

  • @ayazahmad2854
    @ayazahmad2854 Pƙed rokem +7

    Sir I am class 9th(school) and 10th(in coaching) couldn't solve this problem because i see first time this question.

  • @paneergrover9779
    @paneergrover9779 Pƙed rokem +1

    add the last three terms and the equation of series 3n-3 where 3 is d and a = 0 and and sum ofn will be 3n/2(n-1)

  • @i.m.krishna77733
    @i.m.krishna77733 Pƙed rokem

    Toooo Easy
    Thanks sir!!!

  • @rajvardhanjain5475
    @rajvardhanjain5475 Pƙed 11 měsĂ­ci +1

    You didnt told that what to find in the question otherwise it was the only and only question of your channel that I would have solved

  • @DhruvSharma-uo8uc
    @DhruvSharma-uo8uc Pƙed rokem +3

    Sir I used different method:
    AP: 1+2-3+4+5-6+............+(3n-2)+(3n-1)-3n
    In these AP,
    First, I have done the subtraction .i.e. 2-3, 5-6, 3n-1-3n.
    Then I have add the sum .i.e. 1+(-1), 4+(-3), 3n-2+(-1).
    Now,
    New AP: 0+3+..........+3n-3
    BY USING SUM FORMULA,
    Sn = n/2 [2a+(n-1)d]
    I got,
    Sn = 3n/2 [n-1] or Sn = 3/2 (n^2-n)

  • @AkashYadavraj618
    @AkashYadavraj618 Pƙed rokem +1

    Amar sir ke samjhaane ke tarika dekhkar pata chalata hai ki aman sir maith me bahut deep me chale gaye hai.main class 12 me nhi hu naahi jee kaa taiyari karata hu but tab par bhi padhata hu budhhi open ho jaata hau

  • @ankitroy8567
    @ankitroy8567 Pƙed rokem

    Sir maine positive terms and negative terms ko alag kiya aur notice Kiya ki negative no.are multiples of- 3.So maine position ko+ 3 ka multiple ka sath add karwa ya and then -2(multiples of -3) apply Kiya.Then I took -3common from the negative terms and then the solution was like (1+2+3+5+5+6+7+8+9+.....)-6(1+2+3+4+5+6+7+8+9+.....).then maine add kiya

  • @harshis18
    @harshis18 Pƙed rokem +2

    25 jan shift 1
    It was easiest question in that shift in maths and was among few questions which were doable in 1 minute

  • @Shareholder80
    @Shareholder80 Pƙed rokem

    Sir I solved by: The +ve are getting added in multiple of 3 and -ve no.s are also multiple of 3. Take 3 common we r left with (-2-3-4-5-6.....-2n-1+3n) which adds upto 3n(n-1)/2

  • @harshitrai5433
    @harshitrai5433 Pƙed rokem

    sir sabse simple method 3 seperate ap bn jaaenge agar nth terms ki aur simply summation series lagana hai 3 line mein hojaaega question

  • @reimannintegrability
    @reimannintegrability Pƙed rokem +7

    Sir I solved it by using Summation technique
    All thanks to MSM baba đŸ”„đŸ”„đŸ”„đŸ”„đŸ”„

  • @canbe231
    @canbe231 Pƙed rokem +3

    Sir bring more questions for class 10♄♄

  • @tricky1785
    @tricky1785 Pƙed rokem +1

    Sir is solved it 😎

  • @sachiniitd26
    @sachiniitd26 Pƙed rokem

    awesome method sir m to 3 bar sigma k prayog s nikal rha tha faltu m..thankyou so much💖

  • @divyanshsingh9050
    @divyanshsingh9050 Pƙed rokem +1

    đŸ”„

  • @Tryha4d
    @Tryha4d Pƙed rokem +1

    I am in 10th couldn't solve it but i will try harder next time

  • @sanjaybhakar
    @sanjaybhakar Pƙed rokem +2

    Sirji hit and trail se bhi ho jayega.
    n ko 2 put karenge toh answer aa jaayega.

  • @harshitrana7157
    @harshitrana7157 Pƙed rokem

    Add and subtract 2 × ( 3+6+9...+3n)
    Then it will become
    3n(3n+1)/2 - [3n(n+1)/2]×2
    = 3n/2(n-1)

  • @simar1543
    @simar1543 Pƙed rokem

    sir n = 1 daalne par yeh pheli 3 terms ka sum de rha hai similarly n =2 dalne pr first 6 terms ka sum de rha hai , esa to nhi hona chahiye sir

  • @SwaroopBithu704
    @SwaroopBithu704 Pƙed rokem

    What if we use Sigma notations instead

  • @shivgzb
    @shivgzb Pƙed rokem +1

    I have done it by summation concept

  • @gmtejas9671
    @gmtejas9671 Pƙed rokem

    sir we can"t we also do this question by breaking it into three series
    first=1+4+7.......+3n-2
    second=2+5+8........+3n-1
    third=-3 -6 -9............-3n

  • @abhirupscience
    @abhirupscience Pƙed rokem +15

    Sir I got 97.98 Percentile only because of you❀

  • @MOHDRIYAZ-zp7mv
    @MOHDRIYAZ-zp7mv Pƙed rokem +1

    ❀

  • @mathematicsuntold1690
    @mathematicsuntold1690 Pƙed rokem +2

    Good teaching

  • @jaythakkar4298
    @jaythakkar4298 Pƙed rokem +4

    i think this can be just simple solved by the following method :-
    S = given series in the Q
    s1 = 3+6+9+12 +15 .... +3n
    subtract and add 2 times of S1 from S
    we just get two simple series in ap as follows :-
    (1+2+3+4+....3n) - 2(3+6+9+12...+3n)
    i have solved the problem by this method and i have also got the same answer

    • @dhonikumarshahi2806
      @dhonikumarshahi2806 Pƙed rokem

      Bro, in this series of :
      1+4+7...(3n-2); how to get the total no. Of terms so that we can put it in the formula to get the sum

    • @jaythakkar4298
      @jaythakkar4298 Pƙed rokem +1

      @@dhonikumarshahi2806 this is an AP with starting term = 1
      And with common difference = 3
      Mth term of ap will be :-
      A(m) = 1+ (m-1).3
      3n-2 = last term
      3n-2 = 3m-2 ( simplified RHS of A(m))
      n= m
      So the number of terms is n ...

    • @dhonikumarshahi2806
      @dhonikumarshahi2806 Pƙed rokem

      @Jay Thakkar yeah,
      But did you perform this calculation or just applied any sort of logic to get n = m

    • @jaythakkar4298
      @jaythakkar4298 Pƙed rokem

      @@dhonikumarshahi2806 tbh , this calculation happened in my unconscious mind( in seconds ) and i just showed that .... Not any other form of logical short cut

    • @dhonikumarshahi2806
      @dhonikumarshahi2806 Pƙed rokem

      @Jay Thakkar Good,
      I also thought the same but had to do all these calculations for the conformation.
      Btw are you a jee aspirant ?

  • @harshulaggarwal399
    @harshulaggarwal399 Pƙed rokem +1

    I am a class 10th student. Was able to do it easily

  • @JatinKumar-re5dk
    @JatinKumar-re5dk Pƙed rokem

    Ye konsi shift me aaya tha

  • @ramsarumilli
    @ramsarumilli Pƙed rokem +1

    Hello Bro...! I like your way of presentation. I am also a teacher. The smart board you are using is a nice one. I want to buy one such board. Would you please send me the link where I can buy it from?
    Thanks and regards.

    • @ZubRadoo
      @ZubRadoo Pƙed 11 měsĂ­ci

      5 months and no response đŸ˜‚đŸ€ŁđŸ€ŁđŸ€Ł

  • @zeroplays9915
    @zeroplays9915 Pƙed rokem +5

    You can also find the value of n... This is possible as the sum of this series comes out to be 1/4 (by ramanujan paradox equation B [Available in Aman Sir's Ramanujan paradox video])...
    So the value of n is (-1± √3)/2

    • @newbieaccount1201
      @newbieaccount1201 Pƙed rokem +4

      n must be an integer..🙃

    • @dragonslayer7364
      @dragonslayer7364 Pƙed rokem +2

      N shouldn't be negative

    • @kshitij7203
      @kshitij7203 Pƙed rokem +3

      @Zero Plays Are oye murkh baalak 'n' ki value kuch bhi kaise bol raha hai wo paradox hai konsa theorem nhi jo ki tu
      use Karke n value nikal sakta hai

    • @050138
      @050138 Pƙed rokem +1

      ​@@kshitij7203 😂😂

  • @krishgarg2806
    @krishgarg2806 Pƙed rokem +2

    sir answer to mera bhi yehi aaya, but agar humare final function mai n=3 daalenge to 9 aa raha hai. but aise dekhe to 1+2-3 0 aana chahiye na?

    • @kaushikzz8137
      @kaushikzz8137 Pƙed rokem +1

      Bro n=3 ke liye [(1+2-3)+(4+5-6)+(7+8-9)] ye add hongee.....ya phir Final series me n=3 ke liyee 0+3+6.. aur jaise n=4 ke liyee..{0+3+6+9}

  • @brijeshkulkarni1125
    @brijeshkulkarni1125 Pƙed rokem +1

    sir 0 ka koi contribution nhi h toh usko hataya toh bhi chalega na.. 3 ko 1st term consider karna chahiye

    • @RyukenBlack
      @RyukenBlack Pƙed rokem

      Fir number of terms kum ho jayenga
      Jaise 0 , 1 , 2 , 3 ,4 mai 5 terms hau toh n = 5 hoga
      Ab zero hata diya jaye toh n = 4 lena padega
      Toh iss question mai zero nahi hataya kyunki "n" lena jada aasan hai "n-1" lene se

  • @armanayush674
    @armanayush674 Pƙed rokem

    I am 10th class student and solve this ap in first attempt , thank,s sir

  • @Sesquipedalia
    @Sesquipedalia Pƙed 5 měsĂ­ci

    This is wrong. How can we assume the sum is always going to end in a multiple of 3 terms?

  • @krishnannarayanan5252
    @krishnannarayanan5252 Pƙed měsĂ­cem

    3rd from formula is 9 while in the actual series written on board is 6. Why? Hope solution is not correct.

  • @Mr_Kumar_Facts
    @Mr_Kumar_Facts Pƙed rokem

    Sir jee advance ke liye series laeye plzzzzzz

  • @MukundGurave-yu9hj
    @MukundGurave-yu9hj Pƙed 4 měsĂ­ci

    Easy peasy

  • @dhananjaysharma783
    @dhananjaysharma783 Pƙed rokem +20

    Sir I did it with another approach where
    A= 1+2+3+4+5+.......3n
    Let Sum of this series be X which is 3n(3n+1)/2
    Then B = 3+6+9+12..... +3n
    Let the sum of this series be Y which comes out to be 3n(n+1)/2
    Now I did X-2Y
    Which comes out to be 3n(n-1)/2
    -class 10th

    • @khanitparashar2995
      @khanitparashar2995 Pƙed rokem

      Bro 2 Y kyu kiya

    • @sumitshakya9388
      @sumitshakya9388 Pƙed rokem +2

      @@khanitparashar2995 kyuki usne pahle y wali series jo actual me substract honi thi usko add kar diya to wo series actual series se 2y jyada hogyi thi
      jaise ki 1+2-3=0
      ek baar 3 add karoge to hoga 1+2=3
      ek baar aur 3 add karoge to hoga 1+2+3=6
      i hope ab samajh aya hoga

    • @shishirjha4219
      @shishirjha4219 Pƙed rokem

      Easy hi question tha

    • @zeroplays9915
      @zeroplays9915 Pƙed rokem

      @Sumit Shakya and @Dhanajay Sharma @kp -You can also find the value of n... This is possible as the sum of this series comes out to be 1/4 (by ramanujan paradox equation B [Available in Aman Sir's Ramanujan paradox video])...
      So the value of n is (-1± √3)/2

    • @dhananjaysharma783
      @dhananjaysharma783 Pƙed rokem

      @@zeroplays9915 but n ki value natural number honi chaiye na

  • @CraMer850
    @CraMer850 Pƙed rokem

    Sir advance ki series lao

  • @rajadas1798
    @rajadas1798 Pƙed rokem

    Easy sawaal
    😅

  • @cxnaruto4931
    @cxnaruto4931 Pƙed rokem

    I solve three different series to get the sum

  • @Raju_Maths
    @Raju_Maths Pƙed rokem

    à€źà€œà€Ÿ à€† à€—à€Żà€Ÿ à€čà„ˆ

  • @_AS_KRISHNA_
    @_AS_KRISHNA_ Pƙed rokem

    Am in class 10 sir, why you taken a=0 instead of 3 in new A.P

    • @mr.nandu2607
      @mr.nandu2607 Pƙed rokem +2

      if we take a=3 instead of a=0 then our total terms will be n-1 not n .
      we have n terms including 0 as first term .
      if we want to neglect 0 then totatl terems will be n-1

    • @_AS_KRISHNA_
      @_AS_KRISHNA_ Pƙed rokem

      @@mr.nandu2607 ok thanks

  • @shobhitverma0901
    @shobhitverma0901 Pƙed rokem

    Asan tha

  • @imsounak19
    @imsounak19 Pƙed rokem

    Me be like :- Yeh question hai ?

  • @educationlover274
    @educationlover274 Pƙed rokem +4

    Sir mera 72 percentile obc aaya h kya mai advance ke liye qualified hu?

    • @MahajanSaab21
      @MahajanSaab21 Pƙed rokem +1

      Reservation ka chakkar Babu bhaiya 😬

    • @Ok....-
      @Ok....- Pƙed rokem

      99.97 here 😎

  • @Aditya_777
    @Aditya_777 Pƙed rokem +2

    we can also do it like this:
    (1+4+7...3n-2)+(2-3+5-6+...3n-1-3n)
    in the first one, there are n terms and in second there are 2n terms
    (n(3n-2+1)/2) + (-1-1-1-1...-1)
    in the -1 series, there are 'n' number of -1.
    n(3n-1)/2 + (-1 x n)
    n(3n-1)/2 -n
    (3n^2-n-2n)/2
    (3n^2-3n)/2
    3n(n-1)/2
    I am also in 10th

  • @jaipubg4460
    @jaipubg4460 Pƙed rokem +3

    Sir humare 9 class me ye chapter hi nhi hai

  • @arghamaji8234
    @arghamaji8234 Pƙed rokem +12

    I am a 9th student
    Let's see if I can solve...
    Sorry I wasn't

    • @ahanlodha5116
      @ahanlodha5116 Pƙed rokem +1

      If you study only 9th then it's not solvable because at last an AP formula is used......You study it in 10th so don't worry if you failed to solve it....
      However only a brilliant student of class 9 can solve this so if you solved it by just studying 9th then well done

    • @jaipubg4460
      @jaipubg4460 Pƙed rokem

      Same here ye humare slyabus me hai hi nhi

    • @sohamkhamari2795
      @sohamkhamari2795 Pƙed rokem

      Me to class 8th me padhata hun mujhe iska sol ata hai mere papa ne iye pucha tha he is maths teacher

    • @ahanlodha5116
      @ahanlodha5116 Pƙed rokem

      @Ak⁎⁷_shat But formula comes in 10th.....How come you studied it in 9th
      Maybe you study ahead of your class👍

    • @ahanlodha5116
      @ahanlodha5116 Pƙed rokem

      @Ak⁎⁷_shat ooo....Its good to study extra as it helps later

  • @Rajkamal99998
    @Rajkamal99998 Pƙed rokem

    I have an alternate method to do this...
    Put 1 at the place of n in ans we get = 0
    Now check ki wo question me baith rhi hai ki nahi...

  • @Unknown-xr8ve
    @Unknown-xr8ve Pƙed rokem

    This series not deserve a dedicated video

  • @Play-like-GM
    @Play-like-GM Pƙed rokem

    Sir mote ho rahe hai

  • @dhanjeetthakur3567
    @dhanjeetthakur3567 Pƙed rokem +3

    Worst teacher