Ch 5 Previous Year questions Part-3| Arithmetic progressions Term -2 Maths Class 10

Arithmetic progression | class 10 | Exercise 5.1 |

Arithmetic progression class 10 || Basic introduction

Determine the arithmetic progression whose 3rd term is 5 and 7th term is 9.

(a) The nth term of a progression is (3n + 5) . Prove that this progression is an arithmetic progression. Also find its 6th term. (b) The nth term of a progression is (3 - 4n) . Prove that this progression is an arithmetic progression. Also find its common difference. (c) The nth term of a progression is (n^(2) - n + 1). Prove that it is not an A.P.

The sum of the first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term of the A.P. is (1)/(3) Calculate the first term and the 13th term.

The sum of first 6 terms of an arithmetic progression is 42. The ratio of its 10th term to its 30th term is 1:3 . Calculate the first and 13th term of an AP.

The sum of first six terms of an arithmetic progression is 42. The ratio of its 10th term to its 30th term is 1:3. Calculate the first and the thirteenth term of the A.P.

If 2, 7, 9 and 5 are subtraced respectively from four numbers in geometric progression, then the resulting numbers are in arithmetic progression. The smallest of the four numbers is

If the numbers 3^(2a-1), 14, 3^(4-2a) (0 lt a lt 1) are the first three terms of an arithmetic progression, then its fifth term is equal to

If the sum of the first 4 terms of an arithmetic progression is p, the sum of the first 8 terms is q and the sum of the first 12 terms is r, express 3p+r in terms of q.