# How do you write the next three terms of the geometric sequence -2, -12, -72, -432,... and graph the sequence?

##### 1 Answer
Dec 1, 2016

The next three terms are:$\text{ "-2592," "-15552," } - 93312$

#### Explanation:

To determine the next three terms we have to study the given
$\text{ }$
terms in this sequence and how it is calculated .
$\text{ }$
$\text{ }$
${a}_{0} = - 2$
$\text{ }$
${a}_{1} = - 2 \times \textcolor{b l u e}{{6}^{1}} = - 12$
$\text{ }$
${a}_{2} = - 2 \times \textcolor{b l u e}{{6}^{2}} = - 72$
$\text{ }$
Therefore, $\text{ } {a}_{n} = - 2 \times \textcolor{b l u e}{{6}^{n}}$
$\text{ }$
What is a_4=?, a_5" =?",a_6=?
.$\text{ }$
${a}_{4} = - 2 \times {6}^{4} = - 2 \times 1296 = - 2592$
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${a}_{5} = - 2 \times {6}^{5} = - 2 \times 7776 = - 15552$
$\text{ }$
${a}_{6} = - 2 \times {6}^{6} = - 2 \times 46656 = - 93 , 312$
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The geometric series is:
$\text{ }$
$- 2 , \text{ "-12," "-72," "-432," "-2592," "-15552," } - 93312$