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

Arithmetic progression | class 10 | Exercise 5.1 |

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

Arithmetic progression class 10 || Basic introduction

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

(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.

A geometrical progression of positive terms and an arithmetical progression have the same first term. The sum of their first terms is 1 , the sum of their second terms is (1)/(2) and the sum of their third terms is 2. Calculate the sum of their fourth terms.

Let {a _(1),a _(2), a _(3)......} be a strictly increasing sequence of positive integers in an arithmetic progression. Prove that there is an infinite subsequence of the given sequence whose terms are in a geometric progression.