Question

Given the geometric sequence with the first three terms shown as (2,10,50..) answer the following questions:

Write a recursive definition for the sequence

What is the 10th term of the sequence?

Answer 1

The recursive definition of the sequence is :


`\bf a_n = 2(5)^(n-1)`


The 10th term is:


`a_(10) = 2(5)^(10-1)`


`a_(10) = 2(5)^9`


`\bf a_(10) = 3906250`