20 points

view the sequence:

6,18,54,

a.) what is the recursive rule for the sequence?

b.) what is the iterative rule for this sequence?

a)

b)

Step-by-step explanation:

Recursive And Iterative Rules For Sequences

The recursive rules allow finding terms of a sequence as a function of the previous one. The iterative rules provide a formula to compute the n-th term without the need to compute the previous terms.

Our sequence goes like 6,18,54,162... It can be found that any term equals the previous one by 3

a) The recursive rule can be deducted from the above sentence

It's important to provide the first term where the rule will eventually stop

b) The iterative rule is found with the help of geometric sequences

With and r=3