What is the sum of the arithmetic sequence 5, 11, 17 , if there are 24 terms?

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Answer 1 · 2015-06-29T08:17:44

$= 1776$ $color(blue)(= 1776$

$5,11,17...$

The formula for the sum of an arithmetic sequence when $a_1 , d and n$ are given is:

$color(blue)(Sum = (n/2)[2a + (n-1)d]$

Here : $a_1 = 5, d=6 and n=24$

$= (24/2)[2 . 5 + (24 - 1) . 6]$

$= 12 . [10+ 23 .( 6)]$

$= 12. [148]$
$color(blue)(= 1776$