## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 4 - An Introduction to Functions - 4-7 Arithmetic Sequences - Practice and Problem-Solving Exercises - Page 280: 67

#### Answer

The function rule for this sequence would be A(n)=350-25(n-1). The first six terms would be 350 ,325, 300, 275, 250, 225 After 6 weeks, you owe \$225.

#### Work Step by Step

1. The explicit formula is A(n)=350-25(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 350 as in the first week, you borrowed 350 dollars which is what you owe. The value of d is -25 as you pay 25 dollars every week and thus decrease the amount you owe. 2. First term --> A(1)= 350-25(1-1). = 350-25(0) = 350 Second term --> A(2)= 350-25(2-1). = 350-25(1) = 350-25= 325 Third term --> A(3)= 350-25(3-1). = 350-25(2) = 350-50 = 300 Fourth term --> A(4)=350-25(4-1). = 350-25(3) = 350-75= 275 Fifth term --> A(5)= 350-25(5-1). = 350-25(4) = 350-100 = 250 Sixth term --> A(6)= 350-25(6-1). = 350-25(5) =350-125 = 225

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