## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 10 - Section 10.2 - Arithmetic Sequences - Exercise Set - Page 1061: 75

#### Answer

The sum of an arithmetic sequence is given by: $S_n=\dfrac{n}{2}[a_1+a_n]$. See below.

#### Work Step by Step

The sum of an arithmetic sequence is given by: $S_n=\dfrac{n}{2}[a_1+a_n]$ and the nth term for an arithmetic sequence is given by $a_n=a_1+(n-1) d$ Here, $a_1 \to$ Initial Term and $d=$ Common difference. The sum of the first n term can be obtained by taking the half of the product between the number and adding the initial term and last term of the arithmetic sequence.

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