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If the ratio of the sum of n terms of two APs is(7n + 1) : (4n + 27), then the ratio of their 11th terms is.

Posted by Lomror ? 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 10 months ago

4 : 3

Let S_n and S'_n be the sums of n terms of two AP’s and T₁₁and T₁₁ be the respective 11^th terms. Then

Now put n = 21. We get

Note: If ratio of sum of n terms of two APs is given in terms of n and ratio of their p^th terms is to be found then put n = 2p - 1. Here we put n = 11 x 2 - 1 = 21.

2Thank You

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