What is the sum of the first 17 terms of an a | vedclass

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Question

(NONE) Given:
First term $(a)$ = $20$
Last term $(l)$ = $28$
Number of terms $(n)$ = $17$
The formula for the sum of an arithmetic progression whe

Vedclass · Accepted Answer

$408$

Vedclass · Answer

(NONE) Given:
First term $(a)$ = $20$
Last term $(l)$ = $28$
Number of terms $(n)$ = $17$
The formula for the sum of an arithmetic progression when the first and last terms are known is:
$S_n = \frac{n}{2} (a + l)$
Substituting the values:
$S_{17} = \frac{17}{2} (20 + 28)$
$S_{17} = \frac{17}{2} (48)$
$S_{17} = 17 	imes 24$
$S_{17} = 408$

What is the sum of the first $17$ terms of an arithmetic progression if the first term is $20$ and the last term is $28$?

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