Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.1 - Sequences and Summation Notation - 12.1 Exercises - Page 851: 32

Answer

The answer is $A_{n}=-3n+10$.

Work Step by Step

The sequence must be arithmetic because a common difference of $-3$ is maintained. Thus the equation must be in form $A_{n}=A_1+(n-1)d$ $=7+(n-1)(-3)$ $=-3n+10$. Thus the answer is $A_{n}=-3n+10$.
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