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 term of an ap is equal to n times its nth term, show that (m+n)th term is zero.
Arithmetic Progression class 10.
Arithmetic Progression class 10 important questions.
AP class 10.
#arithmeticprogression #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...

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Class 10th

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This question has asked in BSSC MAINS.😊

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Nothing in this question but calculation only. Good explanation sir

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Thanks for such a great explanation I seriously wanted the perfect explanation ✨

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Sir n=m kyu nahi ho sakta?

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Please reply

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