Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Got It? - Page 278: 6

Answer

a) $A(n)=A(n-1)+10$ with $A(1)=76$ b) $A(n)=A(n-1)+3$ with $A(1)=1$

Work Step by Step

a) We have $A(n)=76+(n-1)(10)$ 76 is the first term 10 is the common difference. The recursive formula is $A(n)=A(n-1)+10$ with $A(1)=76$ b) We have $A(n)=1+(n-1)(3)$ 1 is the first term 3 is the common difference. The recursive formula is $A(n)=A(n-1)+3$ with $A(1)=1$
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