Question

Given the arithmetic sequence 7,13,19,25..write both the explicit and recursive formulas

Answer 1

Explanation:

a1=7

a2=13

c.d. d=13-7=6

an=a1+(n-1)d

an=7+(n-1)6=7+6n-6=6n-1

recursive formula

c.d .=an-a(n-1)

6=a_{n}-a_{n-1}

a_{n}=a_{n-1}+6