The formula for a geometric sequence is $a n = 2 {(4)}^{n - 1}$ $an = 2(4)^(n-1)$ what is the 3rd term of the sequence?

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The formula for a geometric sequence is $a n = 2 {(4)}^{n - 1}$ $an = 2(4)^(n-1)$ what is the 3rd term of the sequence?

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Answer 1 · 2016-07-16T10:26:39

$a_{3} = 32$ $a_3=32$

Explanation:

The given $nth term formula$ $color(blue)"nth term formula"$ enables us to find any term in the specified geometric sequence.

To calculate the 3rd term, substitute n = 3 into the formula.

$\Rightarrow a_{3} = 2 {(4)}^{3 - 1} = 2 \times 4^{2} = 32$ $rArra_3=2(4)^(3-1)=2xx4^2=32$

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The formula for a geometric sequence is $a n = 2 {(4)}^{n - 1}$ $an = 2(4)^(n-1)$ what is the 3rd term of the sequence?

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Explanation:

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The formula for a geometric sequence is an = 2(4)^(n-1)an=2(4)n−1an = 2(4)^(n-1) what is the 3rd term of the sequence?

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Explanation:

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The formula for a geometric sequence is $a n = 2 {(4)}^{n - 1}$ $an = 2(4)^(n-1)$ what is the 3rd term of the sequence?