Question

Jeremy can determine the total number of miles walked at a constant speed by using the formula an=an-1+3. If a1=2, what are the first three terms of the sequence? A. 1, 5, 8

B. 2, 6, 18
C. 2.-1, -4
D. 2, 4, 6

Answer 1

If the recursive formula is a(n)=a(n-1)+3 and a1=2 then the explicit formula is:

a(n)=2+3(n-1) which simplifies to

a(n)=2+3n-3

a(n)=3n-1 so the first three terms are a(1), a(2), and a(3) which are:

2, 5, and 8