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use the formula $s = n^2$ to find the sum of $1 + 3 + 5 + \\dots + 291$…

Question

use the formula $s = n^2$ to find the sum of $1 + 3 + 5 + \dots + 291$. (hint: to find $n$ add 1 to the last term and divide by 2.)
$1 + 3 + 5 + \dots + 291 = \square$ (simplify your answer.)

Explanation:

Step1: Calculate number of terms $n$

$n = \frac{291 + 1}{2} = \frac{292}{2} = 146$

Step2: Compute sum using $S=n^2$

$S = 146^2 = 146 \times 146$

Answer:

21316