Find the sum of the first 22 terms of the AP | vedclass

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(C) Here,the first term $a = 8$ and the common difference $d = 3 - 8 = -5$. The number of terms $n = 22$.We use the formula for the sum of the first $

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$-979$

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(C) Here,the first term $a = 8$ and the common difference $d = 3 - 8 = -5$. The number of terms $n = 22$.We use the formula for the sum of the first $n$ terms of an $AP$:$S_n = \frac{n}{2} [2a + (n - 1)d]$Substituting the values:$S_{22} = \frac{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$Thus,the sum of the first $22$ terms of the $AP$ is $-979$.

Find the sum of the first $22$ terms of the $AP : 8, 3, -2, \ldots$

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