English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

Find the sum of the following APs.

`1/15, 1/12, 1/10`, ......, to 11 terms.

Find the sum given below:

`7 + 10 1/2 + 14 + ... + 84`

Find the sum given below:

34 + 32 + 30 + ... + 10

Find the sum given below:

–5 + (–8) + (–11) + ... + (–230)

In an AP: Given a = 5, d = 3, a_n = 50, find n and S_n.

In an AP, given a = 7, a₁₃ = 35, find d and S₁₃.

 In an AP Given a₁₂ = 37, d = 3, find a and S₁₂.

In an AP given a₃ = 15, S₁₀ = 125, find d and a₁₀.

In an AP given d = 5, S₉ = 75, find a and a₉.

In an AP, given a = 2, d = 8, and S_n = 90, find n and a_n.

In an AP given a = 8, a_n = 62, S_n = 210, find n and d.

In an AP given a_n = 4, d = 2, S_n = −14, find n and a.

 In an AP given a = 3, n = 8, S_n = 192, find d.

In an AP given l = 28, S = 144, and there are total 9 terms. Find a.

How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

The first and last terms of an AP are 17 and 350, respectively. If the common difference is 9, how many terms are there, and what is their sum?

Find the sum of first 22 terms of an AP in which d = 7 and 22^nd term is 149.

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Show that a₁, a_2,..., a_n... form an AP where a_n is defined as below:

a_n = 3 + 4n

Also, find the sum of the first 15 terms.