Mathematics questions
18011 published questions with worked solutions.
- 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
- 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 the series 3 4.8 - 3.5 4.8.12 + 3.5.7 4.8.12.16 - is
- 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 expansion of (1+3x+2x^2 ) is
- In the expansion of 2 _ex- _e(x+1)- _e(x-1) the coefficient of x^ -4 is