Answer :

Given ratio of sum of n terms of two AP’s = (7n+1) : (4n + 27)...........(1)

Let’s consider the ratio of these two AP’s m^{th} terms as a_{m} : A_{m} -------------(2)

For first A.P first term is a and common difference is d.

For second A.P first term is a' and the common difference is d'.

n^{th} term of AP formula,

a_{n} = a + (n – 1)d

Hence equation (2) becomes,

On multiplying and dividing by 2, we get

.... (3)

As we know,

So, (3) becomes,

**Thus the ratio of m ^{th} terms of two AP’s is [14m – 6] : [8m + 23].**

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