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

If 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.