This is the Important question based on Arithmetic progression Chapter of R.S Aggarwal book for ICSE & CBSE

Board.

Here the 2 terms of AP is given. you have to find the first term, common difference and the nth term.

This is the Question Number 14 Exercise 11 A of RS Aggarwal Solution.

# The 4th and 10th terms of an AP are 13 and 25 respectively. Find the First term and the common difference of the AP. Also, find its 17th term.

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4th term, 10th term are 13 and 25a+3d=13

a+9d=25

(a+9d)−(a+3d)=25−13

6d=12

d=2

a=7

First term =7, common difference =2

17th term=a+16d=39