Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 60



Work Step by Step

The given equation is: \[{{a}_{n}}={{a}_{1}}+\left( n-1 \right)d\] Simplify the given equation for d: Subtract a1 from both sides, then divide both sides by (n-1) \[\begin{align} & \left( n-1 \right)d={{a}_{n}}-{{a}_{1}} \\ & d=\frac{{{a}_{n}}-{{a}_{1}}}{n-1} \end{align}\] This formula is for nth term of an arithmetic sequence, whose first term is a1 and Common difference is d.
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