## 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: 64

#### Answer

1. The explicit formula is A(n)=-10+4(n-1). The relationship between the first and second, and then second and third is that the magnitude of the values differs by 4 in each scenario and the previous term is less by 4.2. The recursive formula is A(n)=A(n-1)+4; A(1)=-10

#### Work Step by Step

A(n)=-10+4(n-1) 1. First term --> A(1)=-10+4(1-1) = -10+4(0) = -10 Second term --> A(2)=-10+4(2-1) = -10+4(1) = -10 +4 = -6 Difference by 4 as first term is 4 less than second term 2. Second term --> -6 Third term --> A(3)=-10+4(3-1) = -10+4(2) = -10 +8 = -2 Difference by 4 as second term is 4 less than third term 4. The recursive formula is A(n)=A(n-1)+4; A(1)=-10 Because the sequence is in the form of A(n)=A(n-1)+d and the value of A(1) is -10 which was derived using the explicit formula. The A(n-1) allows to find the value of previous term and the value of d which is 4 derived from the explicit formula is added to the previous term to find the value of the nth term.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.