Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - Chapter Test: 16

Answer

This is a arithmetic term. Rule: A(n)=3+(n-1)(0.25)

Work Step by Step

First, this term is an arithmetic sequence because in order to get to the next term, you add 0.25 to the previous term. In order to write the rule we have to follow the standard arithmetic rule: A(n)=a(1)+(n-1)d We know that our first term is 3 so that will be a(1). Next our difference (d) is (0.25) so we will multiply with the expression (n-1) in order to get the amount we have to add to get to our next term. Therefore we can create the rule: A(n)=3+(n-1)(0.25)
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