Question

What is the recursive rule for the sequence?

Answer 1

Answer:

$a_{n} =a_{n-1} -5.6$ where $a_{1} =-2.7$

Step-by-step explanation:

This is an arithmetic sequence with the first term is $a_{1}$ = -2.7 and has a common difference of $d=-5.6$.

Arithmetic Sequence: $a_{n} =a_{n-1} +d$

$a_{n}$ is the nth term and $d$ is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: $d = -5.6$

Recursive rule: $a_{n} = a_{n-1} -5.6$