Question

A)clara believes the sequence 3,9,27,81,243 is arithmetic. Do you agree with clara?Explain your reasoning.

b) write a recursive rule for the sequence?

Answer 1

This is NOT an arithmetic sequence because there is no common difference. It is a geometric sequence because there is a common ratio. Meaning that each term is a constant ratio or multiple of the previous term. The recursive rule for this geometric sequence is:

a(n)=3*a(n-1), a(1)=3