Question

1.Given the recursive formula below, find the explicit formula and the 8th term:

a1= 4
an= an−1 − 3

The explicit formula is:

The 8th term is:

2.Given the following recursive formula:

a1= −6
an = an−1 + 8

What is the common difference?

What is the initial term?

What is the second term?

Answer 1

#1. an = 4 - 3(n-1)

#2. d=8
a2 = a1+d