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

You have the sequence 3,5,7,9. The A(1) is 3.Find the common difference: 5-3=2 7-5=2 9-7=2 Plug into recursive formula ($A^{n}$=$A^{n-1}$+d).The recursive formula is $A^{n}$=$A^{n-1}$+2 Plug into the explicit formula $a^{n}$=A(1)+(n-1)d: y=3+(x-1)(2) y=3+2x-2 y=2x+1 The recursive formula relates to the slope-intercept form because the common difference is equal to the slope of the slope-intercept form.