Uploaded July 2020 | Updated September 2026, 2 weeks ago

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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. Arithmetic Progression 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).
youtu.be/2A_ckCvKU9g

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.
youtu.be/VhdP-vl4XJU

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.
youtu.be/1Ylgm_Rmpg0

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.
youtu.be/9RYCUU1RGa0

Question 5:
The sum of three terms of an ap is 21 and their product is 231, find the numbers.
youtu.be/9QwLHBJDg-c

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.
youtu.be/V8k0-SH6gqE

Question 7:
Find four numbers in AP whose sum is 20 and the sum of whose squares is 120.
youtu.be/XtyfuOak-lI

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.
youtu.be/am0JQ4Zfu98

Question 9:
In an AP prove that tm+n + tm-n = 2tm.
youtu.be/1jdqMduzrJE

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.
youtu.be/k06I3TOQym8

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).
youtu.be/sCDavROiSyE

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.
youtu.be/_ZZ6m83KdZk

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).
youtu.be/NGWm1rGgIZs

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).
youtu.be/1hW1ph0yXW0

Question 15:
If Sn denotes the sum of first n terms of an AP, prove that S12=3(S8-S4).
youtu.be/DIfRUmJnDeM

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.
youtu.be/_JY_NoSV4aU

Question 17:
If the 8th term of an AP is zero, prove that its 38th term is triple of its 18th term.
youtu.be/JMMLqgguuiw

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.
youtu.be/ZQU35rHoUKs

Question 19:
Find the sum of 1-1/n + 1-2/n + 1-3/n + .....+ up to n terms.
youtu.be/swicHN3Epgk

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.
youtu.be/Ivek9LqFPIE

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).
youtu.be/qQvJ2xb2HIA

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.
youtu.be/6v8fzj72AZs

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).
youtu.be/UJoc_9DtdIs