What is the sum of the first 13 terms of an a | vedclass

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(A) Given: The first term $a = -10$,the last term $l = 26$,and the number of terms $n = 13$.The formula for the sum of the first $n$ terms of an arith

Vedclass · Accepted Answer

$104$

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(A) Given: The first term $a = -10$,the last term $l = 26$,and the number of terms $n = 13$.The formula for the sum of the first $n$ terms of an arithmetic progression when the first and last terms are known is $S_n = \frac{n}{2}(a + l)$.Substituting the given values into the formula:$S_{13} = \frac{13}{2}(-10 + 26)$$S_{13} = \frac{13}{2}(16)$$S_{13} = 13 	imes 8$$S_{13} = 104$.Therefore,the sum of the first $13$ terms is $104$.

What is the sum of the first $13$ terms of an arithmetic progression if the first term is $-10$ and the last term is $26$?

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