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

1 Answer
Mia
Dec 1, 2016

The next three terms are:" "-2592," "-15552," "-93312

Explanation:

To determine the next three terms we have to study the given
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terms in this sequence and how it is calculated .
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a_0=-2
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a_1=-2 xx color(blue)(6^1)=-12
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a_2=-2 xx color(blue)(6^2)= -72
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Therefore, " "a_n=-2xxcolor(blue)(6^n)
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What is a_4=?, a_5" =?",a_6=?
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a_4=-2xx6^4=-2xx1296=-2592
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a_5=-2xx6^5=-2xx7776=-15552
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a_6=-2xx6^6=-2xx46656=-93,312
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The geometric series is:
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-2," "-12," "-72," "-432," "-2592," "-15552," "-93312

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