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Question

The ratio of the sum of first n terms of two APs is (7n+1):(4n+27). Find the ratio of their mth terms.

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Solution

n2[2a1+(n1)d1]n2[2a2+(n1)d2]=7n+14n+27

2a1+(n1)d12a2+(n1)d2=7n+14n+27
if n=17

2a1+16d12a2+16d2=12095=2419

a1+8d1a2+8d2=2419

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