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Formula for Sum of n Terms of an AP

Find the sum ...

Question

Find the sum of the first 22 terms of the A.P. : 8, 3, -2, .......... .

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Solution

S = $\frac{n}{2}$ (2a + (n - 1)d)
S = $\frac{22}{2}$ (16 + 21 $\times$ (-5))
S = 11 (16 - 105)
S = -979

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