Intermediate Algebra (6th Edition)

Published by Pearson

Chapter 11 - Section 11.2 - Arithmetic and Geometric Sequences - Exercise Set - Page 647: 69

Answer

If a person saves weekly and saves $\$10$during the first week, and increases the amount he/she saves each week by$\$5$, then the amount of money that he/she saves on any given week $n$ is given by the arithmetic sequence $a_n=10+5(n-1)$

Work Step by Step

There are a number of situations in real life that can be modeled by an arithmetic sequence. One example is when a person decides to save weekly and increases the amount he saves each week by a certain fixed amount. If a person decides to save weekly, starts with $\$10$during the first week, and increases the amount he/she saves each week by$\$5$, then the amount that he needs to save on any given week $n$ is modeled by an arithmetic sequence with: $a_1=\$10d=\$5$ The amount (in $\$$) that he/she needs to save on week$n$is given by the formula:$a_n=10 + 5(n-1)\$

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