Question

Use the formula for the sum of the first $n$ integers to evaluate the sum given below, then write it in closed form. (a) $8 + 9 + 10 + 11 + dots + 500$ (b) $8 + 9 + 10 + 11 + dots + k$ $frac{k^2 + k - 72}{2}$

          Use the formula for the sum of the first $n$ integers to evaluate the sum given below, then write it in closed form.
(a) $8 + 9 + 10 + 11 + dots + 500$
(b) $8 + 9 + 10 + 11 + dots + k$
$frac{k^2 + k - 72}{2}$

$Use the formula for the sum of the first n integers to evaluate the sum given below, then write it in closed form. (a) 8 + 9 + 10 + 11 + dots + 500 (b) 8 + 9 + 10 + 11 + dots + k frack^2 + k - 722$

Added by Miguel H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

10/30/2023

Step 1

The formula is n*(n+1)/2. However, the given sequence doesn't start from 1, it starts from 8 and ends at 500. So, we need to adjust the formula to fit this sequence. Show more…

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Use the formula for the sum of the first n integers to evaluate the sum given below; then write it in closed form. (a) 8 + 9 + 10 + 11 + ... + 500 (b) 8 + 9 + 10 + 11 + ... + k (k^2 + k - 72) / 2

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