Question

Find the next term of the geometric sequence 3/2, 3/4, 3/8 , ...

Answer 1

Given:

Geometric sequence:

`(3)/(2),(3)/(4),(3)/(8),.....`

Find-: Next term of the geometric.

Sol:

Common ratio of a geometric sequence.

`r=(a_n)/(a_(n-1))`

A common ratio is:

`\begin{gathered} r=((3)/(4))/((3)/(2)) \\ r=(3)/(4)*(2)/(3) \\ r=(1)/(2) \end{gathered}`

The next term is:

`a_n=ra_(n-1)`
`\begin{gathered} =(1)/(2)*(3)/(8) \\ =(3)/(16) \end{gathered}`