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CBSE Class 10 Answered

The sum of the third and seventh term of an A.P. is 6 and their product is 8. Find the sum of the first sixteen terms of the A.P.
Asked by Topperlearning User | 26 Jul, 2017, 01:32: PM
answered-by-expert Expert Answer

Let the A.P. be a, a + d, a + 2d, ......

t3 + t7 = 6

2a + 8d = 6

a + 4d = 3

a = 3 - 4d… (1)

 

(a + 2d) (a + 6d) = 8

Using (1), we get,

(3 - 2d) (3 + 2d) = 8

9 - 4d2 = 8

If

If

Answered by | 26 Jul, 2017, 03:32: PM
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