Correct Answer - Option 3 : 8
Concept:
The geometric mean of the numbers a1, a2,...,an is given by ⇔ G = \(\rm (a_1\times a_2\cdots \times a_n)^{\frac 1 n}\)
Calculation:
GIven data: 2, 4, 8,16, 32?
Geometric mean = \((2 \times 4 \times8 \times 16 \times 32)^{\frac 1 5}\)
\(=(2^1 \times 2^2\times 2^3\times 2^4\times 2^5)^{\frac1 5}\)
\(=(2^{15})^{\frac1 5}\)
= 23
= 8
Hence, option (3) is correct.
