Question

if the ratio of the sum of first n terms of two AP's is (7n+1):(4n+27),find the ratio of their mth terms

Answer 1

Thus so

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Answer 2

If the ratio of the sum of n terms of two AP is given then to find the ratio of their nth terms we replacen by 2n-1 in the ratio of the sum of n terms.
So the ratio of their nth terms are (see the attachment)