Question

What is the sixth term of the sequence an=-3•2n+1
a6=

Answer 1

`a_6=-384`

Explanation:

The
`n^(th)` term of the sequence is given as
`a_n=-3\cdot 2^(n+1)`.

To find the sixth term, which is denoted by
`a_6`, we substitute n=6 into the given rule.

This will give us:

`a_6=-3\cdot 2^(6+1)`

Simplify the exponent to get:

`a_6=-3\cdot 2^(7)`

We simplify further to get:

`a_6=-3\cdot 128`

This simplifies to

`a_6=-384`