If the sum of first 8 and 19 terms of an A.P. are 64 and 361 respectively, find the common difference.

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Text solutionVerified

$S_{8} = 64$

$S_{n} = \frac{n}{2} (2 a + (n - 1) d)$

2 a + 7 d = 16

S_{19} = 361

2 a + 18 d = 38

Solving,

a = 1, d = 2

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Question Text	If the sum of first 8 and 19 terms of an A.P. are 64 and 361 respectively, find the common difference.
Answer Type	Text solution:1
Upvotes	150