Question

Let me know the answer plz

Answer 1

J

Explanation:

Find the common ratio r of the geometric sequence then multiply a term by r to obtain the next term

r =
`(a_(2) )/(a_(1) )` =
`(6)/(-36)` = -
`(1)/(6)`

The next 3 terms are

`(1)/(6)` × -
`(1)/(6)` = -
`(1)/(36)`

-
`(1)/(36)` × -
`(1)/(6)` =
`(1)/(216)`

`(1)/(216)` × -
`(1)/(6)` = -
`(1)/(1296)`

Answer 2

J.
`-(1)/(36)`,
`(1)/(216)`,
`-(1)/(1296)`

Explanation:

We are given the following geometric sequence and we are to find its 8th term:

`-36, 6, -1, (1)/(6),...`

Here
`a_1=-36` and common ratio
`(r) = (-1)/(6)=(-1)/(6)`.

The formula we will use to find the next three terms is:

nth term =
`a_1 * r^((n-1))`

5th term =
`-36 * (-1)/(6)^((5-1))` =
`-(1)/(36)`

6th term =
`-36 * (-1)/(6)^((6-1))` =
`(1)/(216)`

7th term =
`-36 * (-1)/(6)^((7-1))` =
`-(1)/(1296)`