Question

Find the value of first 22 terms of A.P 8,3,-2,-7..................

Answer 1

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Answer 2

AP : 8, 3, - 2, - 7,....., to 22 terms.

Here, we have ;

First term (a) = 8

Number of terms (n) = 22

Common difference (d) = 3 - 8 = -5

Sum of n terms is given by formula :

=> $S_{n}$ = $\dfrac{n}{2}$ [2a + (n - 1)d]

=> $S_{22}$ = $\dfrac{22}{2}$ [2(8) + (22 - 1)(-5)]

=> $S_{22}$ = 11 [16 + 21(-5)]

=> $S_{22}$ = 11 (16 - 105)

=> $S_{22}$ = 11(-89)

=> $S_{22}$ = - 979

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The sum first 22 terms of an AP is - 979

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