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anonymous
 5 years ago
find the geometric mean.
8,_, 72
explain please.
anonymous
 5 years ago
find the geometric mean. 8,_, 72 explain please.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If this thing is growing at a constant geometrical rate, then letting your unknown be x, you have\[\frac{x}{8}=\frac{72}{x} \rightarrow x^2=72 \times 8 =576 \rightarrow x=\sqrt{576}=24\]here. To find the geometric mean, you multiply every element in the sequence and raise it to the power of 1/(no. of elements), so here:\[\mu = (8 \times 24 \times 72)^{1/3}=24\]as required.
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