Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.2 - Arithmetic Sequences - Exercise Set - Page 841: 79


Makes sense

Work Step by Step

Sum of the an arithmetic sequence can be calculated by using formula $S_n=\dfrac{n}{2}(2a_1+(n-1)d)$ Here $S_n$ denotes sum and $a_1$ denotes first term or initial term with $d$ as common difference. But the given sequence does follow a pattern of same $d$ , this means that the sequence is a arithmetic sequence. Therefore, we can apply the sum formula to calculate the first $50$ terms as we have first term and last term $a_{50}$.
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