Question

Look at the sequence in the table.

.
Which recursive formula represents the sequence shown?
A) an=an-1+5
B) an= 2an-1 +1
C) an= 3an-1 -1
D) an= 5an-1 +1

Answer 1

A

Explanation:

The consecutive values of
`a_(n)` have a common difference d, that is

d = 8 - 3 = 13 - 8 = 18 - 13 = 23 - 18 = 5

This indicates that the sequence is arithmetic.

The recursive formula allows the next term in the sequence to be found from the previous term by adding 5, thus

`a_(n)` =
`a_(n-1)` + 5 → A