Question

The first term of a geometric sequence is 3 and the common ratio is 2. What is the 6th term?

Answer 1

`6^(th) term=96`

Explanation:

We have a formula for that.
`n^(th) term=ar^(n-1)`
where, `a` is the first term, `r` is the common ratio and `n` is the number of term.
`6^(th) term=ar^(6-1)`
`rArr 6^(th) term=3xx2^(6-1)`
`rArr 6^(th) term=3xx32`
`rArr 6^(th) term=96`

That's it.
Hope this helps :)