Question

32, 25, 18, 11.... Recursive Formula an = 32 . -7n-1 an = an-1 + 32 an = an-1 . 32 an = an-1 -7

Answer 1

The recursive formula is;

`a_n=a_(n-1)-7`

Step-by-step explanation:

We want to find the recursive formula for the given sequence;

The recursive can be in the form;

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

where d is the common difference.

Let us find the common difference for the given sequence;

`\begin{gathered} d=25-32 \\ d=-7 \end{gathered}`

So, the recursive formula can be derived by substituting the value of d into the equation above;

`a_n=a_(n-1)-7`

Therefore, the recursive formula is;

`a_n=a_(n-1)-7`