Sequence and Series questions
1035 published questions with worked solutions.
- The sum of all two digit numbers which, when divided by 4, yield unity as a remainder is
- The sum of 100 terms of the series 0.9+0.09+0.009 will be
- The harmonic mean of two numbers is 4 and the arithmetic and geometric means satisfy the relation 2A+G^2=27, the numbers are
- If x,1,z are in AP and x,2,z are in GP, then x,4,z will be in
- Consider the sequence of numbers 121,12321,1234321, Each term in the sequence is
- In the four numbers first three are in GP and last three are in AP whose common difference is 6. If the first and last numbers...
- Statement 1: The sum of n terms of two arithmetic progressions are in the ratio (7n+1):(4n+17), then the ratio of their n^ th...
- Number of positive integral ordered pairs of (a,b) such that 6,a,b are in harmonic progression is
- The value of _ n=0 ^ 2n+3 3^n is equal to
- If the roots of 10x^3-nx^2-54x-27=0 are in harmonic progression, then 'n' equals
- Let sum of first three terms of G.P. with real terms is 13 12 and their product is -1. If the absolute value of the sum of their...
- Let a_n=16,4,1, be a geometric sequence. Define P_n as the product of the first n terms. Then the value of 14 _ n=1 ^ [n] P_n is
- Let a,b,c,d be four distinct real numbers in A.P. Then half of the smallest positive value of k satisfying...
- Let a_1,a_2,a_3, a_ 101 are in G.P. with a_ 101 =25 and _ i=1 ^ 201 a_i=625. Then the value of _ i=1 ^ 201 1 a_i equals
- Given a,b,c are in A.P., b,c,d are in G.P. and c,d,e are in H.P. If a=2 and e=18, then the sum of all possible value of 'c' is
- The terms a_1,a_2,a_3 form an arithmetic sequence whose sum is 18. The terms a_1+1,a_2,a_3+2, in that order, form a geometric...
- For a,b>0, let 5a-b, 2a+b, a+2b be in A.P. and (b+1)^2, ab+1, (a-1)^2 are in G.P., the value of (a^ -1 +b^ -1 ) is
- Let a+ar_1+ar_1^2+ + and a+ar_2+ar_2^2+ + be two infinite series of positive numbers with the same first term. The sum of the...
- The 5^ th and 8^ th terms of a geometric sequence of real numbers are 7! and 8! respectively. If the sum to first n terms of the...
- The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369. The first and the ninth term...
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