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

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


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


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






Or we can write it as



For 10th term put


n = 19


Therefore the ratio of the 10th term will be




1