Question

Graph the geometric sequence of 1/32,1/8,1/2,2,8

Answer 1

Please see the attachment for graph.

Explanation:

Given: We are given geometric sequence.

`(1)/(32), (1)/(8), (1)/(2), 2, 8`

We need to graph the geometric sequence.

First we find the nth term of GP or general term.

`a_n=ar^(n-1)`

where,
`a=(1)/(32)` , r=4

`a_n=(1)/(32)(4)^(n-1)`

Now we write as function n-> x

`f(x)=(1)/(32)(4)^(x-1)`

We make table x and y

x y

1
`(1)/(32)`

2
`(1)/(8)`

3
`(1)/(2)`

4
`2`

5
`8`

Plot the point on graph and join the points

Please see the attachment.

Answer 2

1/32 ; 1/8 ; 1/2 ; 2 ; 8 ; ....

An = 2^2n-7

Pls. see attachment for the graph.