Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 313: 55


The common difference (4) is equal to the slope of the line in slope-intercept form.

Work Step by Step

You have the sequence -1,3,7,11. The A(1) is -1. Find the common difference: 3-(-1)=4 7-3=4 11-7=4 Plug into recursive formula ($A^{n}$=$A^{n-1}$+d).The recursive formula is $A^{n}$=$A^{n-1}$+4 Plug into the explicit formula $a^{n}$=A(1)+(n-1)d: y=-1+(x-1)(4) y=-1+4x-4 y=4x-5 The recursive formula relates to the slope-intercept form because the common difference(4) is equal to the slope of the slope-intercept form.
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