Question

I know that: the first term of the sequence is -2, and the fifth term is - 1/8 . What is the 2nd term, 3rd term 4th term do you know?

Answer 1

Here the first term = -2

5th term = -1/8

Now we have to find the common ratio (r)

Fifth term A5 = -1/8

-1/8 =
`a_(1) r^(4)`

Here
`a_(1) = -2`

Plug in
`a_(1)  = -2` in the fifth term and find the value of r.

-1/8 = -2
`r^(4)`

`r^(4) = (-1/8)/(-2)`

`r^(4) = (1)/(16)`

Taking 4th root, we get

r =
`(1)/(2)`

Now let's find the second term.

`a_(2) =` first term *r = -2 *1/2 = -1

2nd term = -1

3rd term = second term * 1/2 = -1 * 1/2 = -1/2

4th term = 3rd term *r = -1/2 *1/2 = -1/4

Thank you :)