Question - If the ratio of the sums of first n^th terms of two AP's is (7n + 1):(4n + 27) find the ratio of their m^th terms.

Answer : The required ratio is (14m-6):(8m+23) .

Here we are given that the ratio of sum of first n terms of two AP's is (7n + 1):(4n + 27) .

That is.

As , we know that the sum of n terms of an AP is given by ,

Assume that ,

Using this we have ,

Now also we know that the nth term of an AP is given by ,

Therefore,

From equation (i) and (iii) ,

Substitute this value in equation (i) ,

Simplify,

From equation (ii) ,

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step-by-step explanation:

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