Given below are the Class 10 Maths
Important Questions(Short questions) for Arithmetic Progression
a) Concepts questions
b) Calculation problems
c) Multiple choice questions
d) Long answer questions
e) Fill in the blank's
The general term of a sequence is given by an
= -4n + 15. Is the sequence an A. P.? If so, find its 15th
term and the common difference.
term of an A. P. is 6n + 11. Find the common difference.
If the 8th
term of an A. P. is 31 and the 15th
term is 16 more than the 11th
term, find the A. P.
Which term of the arithmetic progression 5, 15, 25, ----- will be 130 more than its 31st
Which term of the A. P. 3, 15, 27, 39…… will be 132 more than its 54th
Two A. P.’s has the same common difference. The difference between their 100th
terms is 111 222 333. What is the difference between their Millionth terms?
terms of an A. P. are 41 and 73 respectively. Find 26th
If (m + 1)th
term of an A. P. is twice the (n + 1)th
term. Prove that the (3m + 1)th
term is twice the (m + n + 1)th
If the nth
term of the A. P. 9, 7, 5… is same as the nth
term of the A. P. 15, 12, 9…. find n.
Find the second term and nth
term of an A. P. whose 6th
term is 12 and the 8th
term is 22.
The sum of 4th
terms of an A. P. is 24 and the sum of 6th
terms is 34. Find the first term and the common difference of the A. P.
If an A. P. consists of n terms with first term a and nth
term l show that the sum of the nth
term from the beginning and the mth
term from the end is (a + l).
If the ath
term of an A. P. be 1/b and bth
term be 1/a then show that its (ab)th
term is 1.
If the pth
term of an A. P. is q and the qth
term is p. Prove that its nth term is (p + q – n)
If m times the mth
term of an A. P. is equal to n times its nth term. Show that the (m + n)th
term of the A. P. is zero.
Justify whether it is true to say that the following are the nth terms of an AP.
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