Question

Look at the sequence in the table. Which recursive formula represents the sequence shown?A) an = an-1 + 4C) an = 2an-1 + 3B) an = 4an-1 + 1D) an = 2an-1 - 1

Answer 1

The recursive formula for the given sequence is;

`a_n=a_(n-1)+4`

Step-by-step explanation:

Given the sequence;

`1,5,9,13,17`

The sequence above is an Arithmetic Progression AP.

Writing the recursive formula;

`a_n=a_(n-1)+d`

for the sequence, the common difference d is;

`\begin{gathered} d=17-13=4 \\ d=4 \end{gathered}`

The recursive formula will then be;

`a_n=a_(n-1)+4`