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:

$a_{10} = 2(5)^{10-1}$

$a_{10} = 2(5)^9$

$\bf a_{10} = 3906250$