Mathematics questions
18011 published questions with worked solutions.
- If the AM of two numbers be A and GM be G, then the numbers will be
- If f(x)= ^2x+ ^2x, then
- The sum to n terms of the infinite series 1.3^2+2.5^2+3.7^2+ is
- If the sum of n terms of the series 1+ 45+ 7 5^2 + 10 5^3 + is l+ 15 16 (1- 1 5^ n-1 )- 3n-2 4 (5^ n-1 ) , then l is
- 1+ 45+ 7 5^2 + 10 5^3 + to is
- The sum of the series 1+3x+6x^2+10x^3+ will be
- 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
- If y=3x+6x^2+10x^3+ , then the value of x in terms of y is
- 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
- 1 n! + 1 2! ,(n-2)! + 1 4! ,(n-4)! + is
- 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