Sequence and Series questions
1035 published questions with worked solutions.
- The sum of the first n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+ is n(n+1)^2 2, where n is even. When n is odd the sum is
- If S_n=1^3+2^3+ +n^3 and T_n=1+2+ +n, then
- The sum of n terms of the series 1+(1+x)+ (1+x+x^2 )+ will be
- 12 22 1^3 + 22 32 1^3+2^3 + 32 42 1^3+2^3+3^3 + +n terms equals
- _ k=1 ^5 1^3+2^3+ +k^3 1+3+5+ +(2k-1) is equal to
- The sum of the first n terms of the series 1 2+ 5 + 1 5+ 8 + 1 8+ 11 + is
- The sum to n terms of the series 1 1+ 3 + 1 3+ 5 + is
- Sum of n terms of the following series 1^3+3^3+5^3+7^3+ is
- The sum of the series 1.3^2+2.5^2+3.7^2+ upto 20 terms is
- The sum of the series _42- _82+ _ 16 2- _ 32 2+ is
- _e3- _e9 2^2 + _e27 3^2 - _e81 4^2 + is
- The sum of series 1 1.2.3 + 1 3.4.5 + 1 5.6.7 + is equal to
- The value of 1+ 1+2 2! + 1+2+3 3! + 1+2+3+4 4! + is
- If a,b,c,d are any four consecutive coefficients of any expanded binomial, then a+b a, b+c b, c+d c are in
- The product of n positive numbers is unity. Their sum is
- If a,b,c are in AP then 10^ ax+10 ,10^ bx+10 ,10^ cx+10 (x 0) are in
- Statement 1: If sum of n terms of a series 2n^2+3n+1, then series is an AP. Statement 2: Sum of n terms of an AP is always of the...
- If a,b,c are in AP, then 3^a,3^b,3^c shall be in
- The value of the sum _ r=1 ^n _ s=1 ^nS_ rs 2^r3^s, where S_ rs =0, if r s and S_ rs =1, if r=s, is
- Number of identical terms in the sequence 2,5,8,11, upto 100 terms and 3,5,7,9,11, upto 100 terms are
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