English Medium Class 10 - CBSE Important Questions

Find the 25^th term of the AP \[- 5, \frac{- 5}{2}, 0, \frac{5}{2}, . . .\]

The fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.

The nth term of an AP is given by (−4n + 15). Find the sum of first 20 terms of this AP?

Draw a triangle PQR in which QR = 6 cm, PQ = 5 cm and times the corresponding sides of ΔPQR?

If the common differences of an A.P. is 3, then a₂₀ − a₁₅ is 

Find the A.P. whose fourth term is 9 and the sum of its sixth term and thirteenth term is 40.

The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?

For what value of n, the n^th terms of the arithmetic progressions 63, 65, 67, ... and 3, 10, 17, ... equal?

The sum of first seven terms of an A.P. is 182. If its 4^th and the 17^th terms are in the ratio 1 : 5, find the A.P.

If the sum of n terms of an A.P. be 3n² + n and its common difference is 6, then its first term is ______.

Which term of the  AP  3, 15, 27, 39, ...... will be 120 more than its 21st term?

If the sum of first n terms of an AP is n², then find its 10th term. 

Find the value of x, when in the A.P. given below 2 + 6 + 10 + ... + x = 1800.

Find the sum of the first 10 multiples of 6.

The sum of the first three numbers in an Arithmetic Progression is 18. If the product of the first and the third term is 5 times the common difference, find the three numbers.

The sum of first 15 terms of an A.P. is 750 and its first term is 15. Find its 20^th term.

Find the sum of the integers between 100 and 200 that are

1. divisible by 9
2. not divisible by 9

[Hint (ii) : These numbers will be : Total numbers – Total numbers divisible by 9]

Find the sum of all the 11 terms of an A.P. whose middle most term is 30.

Find the sum of the integers between 100 and 200 that are not divisible by 9.

Find the value of a₂₅ – a₁₅ for the AP: 6, 9, 12, 15, ………..