Answer
$n^2+n$
Work Step by Step
We have to determine the sum:
$S=2+4+6+.....+2n$
We factor:
$S=2(1+2+....+n)$
We use the formula:
$1+2+...+k=\dfrac{k(k+1)}{2}$
$S=2\cdot\dfrac{n(n+1)}{2}$
$S=n(n+1)$
$S=n^2+n$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.2 Arithmetic Sequences - 12.2 Assess Your Understanding - Page 814: 40
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
