Sequence and Series questions
1035 published questions with worked solutions.
- A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by...
- If ( - ), and ( + ) are in H.P., then the value of ^2 is
- x, y, z are in G.P. and ^ -1 x, ^ -1 y, ^ -1 z are in A.P then
- If ( - ), and ( + ), are in H.P., then the value of 2 is
- The difference between the fourth term and the first term of a Geometrical Progresssion is 52. If the sum of its first three...
- The sum of the series 1^2 + 2.2^2 + 3^2 + 2.4^2 + 5^2 + 2.6^2 + + 2(2m)^2 is
- Suppose θ and ϕ(≠ 0) are such that sec(θ + ϕ), sec θ and sec(θ − ϕ) are in A.P. If = k ( 2 ) for some k, then k is equal to
- If the A.M. between p^ th and q^ th terms of an A.P. is equal to the A.M. between r^ th and s^ th terms of the same A.P., then p...
- Statement 1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + + (361 + 380 + 400) is 8000. Statement 2: _...
- If 100 times the 100^ th term of an AP with non zero common difference equals the 50 times its 50^ th term, then the 150^ th term...
- If x, y, z are positive numbers in A.P. and ^ -1 x, ^ -1 y and ^ -1 z are also in A.P., then which of the following is correct.
- Let a_1, a_2, a_3, be an A.P, such that a_1 + a_2 + + a_p a_1 + a_2 + a_3 + + a_q = p^3 q^3 ; p ≠ q. Then a_6 a_ 21 is equal to:
- The sum of the series: 1 + 1 1 + 2 + 1 1 + 2 + 3 + upto 10 terms, is:
- Given sum of the first n terms of an A.P. is 2n + 3n^2. Another A.P. is formed with the same first term and double of the common...
- The sum 3 1^2 + 5 1^2 + 2^2 + 7 1^2 + 2^2 + 3^2 + upto 11-terms is:
- The sum of the series : (2)^2 + 2(4)^2 + 3(6)^2 + upto 10 terms is :
- If a_1, a_2, a_3, , a_n, are in A.P. such that a_4 - a_7 + a_ 10 = m, then the sum of first 13 terms of this A.P., is :
- Given a sequence of 4 numbers, first three of which are in G.P. and the last three are in A.P. with common difference six. If...
- The value of 1^2 + 3^2 + 5^2 + + 25^2 is :
- Given an A.P. whose terms are all positive integers. The sum of its first nine terms is greater than 200 and less than 220. If...
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