Question

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

Answer 1

Answer:

$a_6=-384$

Step-by-step 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

$a_6=-384$