Question

Write a simplified expression for the right half of the equation that can be used to find the nth term in the sequence The sequence is 7,9,11,13,15

Answer 1

7,9,11,13,15

First, find the common difference (d)

9-7 = 11-9 = 13-11 = 15-13 = 2

d= 11

a1 = first term = 7

apply the formula:

an = a1 + (n-1) d

an = 7 + (n-1) 2

an = 7 + 2n-2

an = 2n + 5