Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7: 39

Answer

$a_{50}=1.75$

Work Step by Step

The nth term of an arithmetic sequence can be found using the formula: $a_n=a_1+(n−1)d$ where d = common difference $a_1$ = first term $a_n=n^{th}$ term The given arithmetic sequence has: $a_1=14 \\d=-0.25$ Use the formula above to find the 50th term: $a_n=a_1+(n−1)(d) \\a_{50}=14+(50−1)(-0.25) \\a_{50}=14+49(-0.25) \\a_{50}=14+(-12.25) \\a_{50}=1.75$
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