If the sums of n terms of two APs are in ratio (2n + 3) : (3n + 2), find the ratio of their 10th terms.

Question

Philoid · Accepted Answer

Given: sums of n terms of two APs are in ratio (2n + 3) : (3n + 2)

To find: find the ratio of their 10^th terms.

For the sum of n terms of two APs is given by

Or we can write it as

For 10^th term put

n = 19

Therefore the ratio of the 10^th term will be

If the sums of n terms of two APs are in ratio (2n + 3) : (3n + 2), find the ratio of their 10^th terms.