Question

Find the 6th term of the geometric sequence for which the first term is-6 and the 1 common ratio is 3

Answer 1

The 6th term of the geometric sequence is:

`a_6=-1458`

Explanation:

We know that the nth term of a geometric sequence is given by the formula:

`a_n=a_1\cdot r^(n-1)`

where
`a_1` is the first term of the sequence and r is the common ratio of the sequence and
`a_n` is the nth term of a sequence.

Also,

`a_=-6`

and
`r=3`

Hence, we get:

`a_6=-6* (3)^(6-1)\\\\\\a_6=-6* 3^5\\\\\\a_6=-1458`

Hence, the answer is:

-1458