Answer:


Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:



They are all equal to
.
So we are saying:

More formally:
.
Multiply both sides by
:

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is:


First, isolate the x:
5x-2x= 2-3
Then solve!
3x= -1
x= -1/3
Hope this helps!
Answer:
264647401977373+3637397374+739-739376536372801826464783920182773636373+7373839292901-278282