Sequence and Series questions
1035 published questions with worked solutions.
- Sum of n terms of the series 12+ 34+ 78+ 15 16 + is
- If |x|<1, then the sum of the series 1+2x+3x^2+4x^3+ will be
- The sum of all the products of the first n natural numbers taken two at a time is
- _ k=1 ^n _ i=1 ^k _ j=1 ^i1 is equal to
- The sum of infinite terms of the series 1 (1+a)(2+a) + 1 (2+a)(3+a) + 1 (3+a)(4+a) + + to , where a is a constant, is
- If S_n= 1 6.11 + 1 11.16 + 1 16.21 + to n terms, then 6S_n equals
- 99^ th term of the series 2+7+14+23+34+ is
- 1 2.5 + 1 5.8 + 1 8.11 + upto n terms is equal to
- The sum of 15^2+16^2+17^2+ +30^2 is equal to
- The sum of the series 1^3+2^3+3^3+ +15^3 is
- It is given that 1 1^4 + 1 2^4 + 1 3^4 + + to = ^4 90 . Then, 1 1^4 + 1 3^4 + 1 5^4 + is equal to
- For any integer n 1, the sum _ k=1 ^nk(k+2) is equal to
- If the sum of first n natural numbers is 15 times the sum of their squares, then the value of n is
- The sum to n terms of the series 43+ 10 9+ 28 27 + is
- The sum of the series (1+2)+ (1+2+2^2 )+ (1+2+2^2+2^3 )+ upto n terms is
- Let S_n= 1 1^3 + 1+2 1^3+2^3 + + 1+2+ +n 1^3+2^3+ +n^3 , n=1,2,3, Then S_n is not greater than
- The value of 1.1!+2.2!+3.3!+ +n.n! is
- The sum of series 1+ 32+ 74+ 15 8+ 31 16 + is equal to
- The sum to the infinity of the series 1+ 23+ 6 3^2 + 10 3^3 + 14 3^4 + is
- The sum of 24 terms of the following series 2+ 8+ 18 + 32 + is
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