English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

If the sum of n terms of an A.P. is 3n² + 5n then which of its terms is 164?

If the sum of n terms of an A.P. is 2n² + 5n, then its nth term is

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times, the least, then the numbers are

Let S_n denote the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = S_n − kS_n−1 + S_n−2, then k =

The first and last term of an A.P. are a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \[\frac{l^2 - a^2}{k - (l + a)}\] , then k =

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =

If the first, second and last term of an A.P. are a, b and 2a respectively, its sum is

If S₁ is the sum of an arithmetic progression of 'n' odd number of terms and S₂ the sum of the terms of the series in odd places, then \[\frac{S_1}{S_2} =\]

If in an A.P. S_n = n²p and S_m = m²p, where S_r denotes the sum of r terms of the A.P., then S_p is equal to 

If S_n denote the sum of the first n terms of an A.P. If S_2n = 3S_n, then S_3n : S_n is equal to

In an AP. S_p = q, S_q = p and S_r denotes the sum of first r terms. Then, S_p+q is equal to

If S_r denotes the sum of the first r terms of an A.P. Then , S_3n: (S_2n − S_n) is

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is 

The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is

Sum of n terms of the series  `sqrt2+sqrt8+sqrt18+sqrt32+....` is ______.

The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is

If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\]  are in A.P. Then, x =

The nth term of an A.P., the sum of whose n terms is S_n, is

The common difference of an A.P., the sum of whose n terms is S_n, is