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The ratio of the sum of n terms of two A...

The ratio of the sum of `n` terms of two A.P. is `(7n+1):(4n+27)` . Find the ratio of their nth terms.

A

(14n+6) : (8n-23)

B

(14n-6) : (8n+23)

C

7n-1 : 4n-27

D

(8n+23) : (14n-6)

Text Solution

Verified by Experts

The correct Answer is:
B
The ratio of then `n^(th)` terms if obtained by replacing n by (2n-1) in the given ratio.
Hence, required ratio = (7(2n-1)+1):(4(2n-1)+27)=(14n-6):(8n+23)
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