Q:

Geometric sequence find the 9 term of 8,4,2

Accepted Solution

A:
Based on the given numbers, the first term of the sequence is 8. Now, find the common ratio r. $$ r=\frac{4}{8}=\frac{2}{4}=\frac{1}{2} $$ So, the ninth term of the sequence can be found using the formula written below. $$ a_n=a_1\times r^{n-1},a_1=8,r=\frac{1}{2} $$ Therefore, $$ a_9=8\times\left(\frac{1}{2}\right)^{9-1}=8\times\left(\frac{1}{2}\right)^8, $$ $$ a_9=\frac{1}{32} $$