The sum of the first $22$ terms of the A.P. $8, 3, - 2, . . . . . . . . . .$ is

- 875

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- 979

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- 717

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1072

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Solution

The correct option is D $- 979$
Given, $8, 3, - 2, . . . . . . . . .$ are in A.P.
Thus, first term and common difference of the A.P. is $8$ and $- 5$ respectively.
$a = 8, d = 3 - 8 = - 5, n = 22$
$S_{n} = \frac{n}{2} {2 a + (n - 1) d}$
$= \frac{22}{2} {16 + (21) (- 5)}$
$= 11 {16 - 105}$
$= - 979$

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