English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

What is the sum of first n terms of the AP a, 3a, 5a, …..

What is the 5^th  term form the end of the AP 2, 7, 12, …., 47?

If a_n  denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a₃₀ - a₂₀ ).

Write the next term for the AP` sqrt( 8),  sqrt(18), sqrt(32),.........`

Write the next term of the AP `sqrt(2) , sqrt(8) , sqrt(18),.........`

Which term of the AP 21, 18, 15, … is zero?

Find the sum of the first n natural numbers.

Find the sum of first n even natural numbers.

The first term of an AP is p and its common difference is q. Find its 10^th term. 

If `4/5 `, a, 2 are in AP, find the value of a.

If (2p +1), 13, (5p -3) are in AP, find the value of p.

If (2p – 1), 7, 3p are in AP, find the value of p.

If the sum of first p terms of an AP is 2 (ap²  +  bp), find its common difference.

If the sum of first n terms is  (3n² +  5n), find its common difference.

Find an AP whose 4^th  term is 9 and the sum of its 6^th and 13^th terms is 40. 

Find the sum of the following Aps:

i) 2, 7, 12, 17, ……. to 19 terms . 

Find the sum of  the following Aps:

9, 7, 5, 3 … to 14 terms

Find the sum of first n terms of an AP whose nth term is (5 - 6n). Hence, find the sum of its first 20 terms.

The sum of the first n terms of an AP is (3n²+6n) . Find the nth term and the 15^th term of this AP. 

The sum of the first n terms of an AP is given by  `s_n = ( 3n^2 - n) ` Find its

(i) nth term,
(ii) first term and
(iii) common difference.