The geometric mean of the observations 2, 4, 8, 16, 32, 64 is

2^{5 / 2}

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2^{7 / 2}

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None of these

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Solution

The correct option is D $2^{7 / 2}$
Geometric mean of $2, 4, 8, 16, 32, 64$ $= {({2.2}^{2} {.2}^{3} {.2}^{4} {.2}^{5} {.2}^{6})}^{1 / 6} = 2^{21 \times 1 / 6} = 2^{7 / 2}$

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Similar questions

Q. The value of

\frac{18^{3} + 7^{3} + 3 \cdot 18 \cdot 7 \cdot 25}{3^{6} + 6 \cdot 243 \cdot 2 + 15 \cdot 181 \cdot 4 + 20 \cdot 27 \cdot 8 + 15 \cdot 9 \cdot 16 + 6 \cdot 3 \cdot 32 + 64}

{lim}_{n \to \infty} \frac{1 + 1 + 4 + 8 + 9 + 27 + 16 + 64 + . . .}{(1 + 2 + 3 + 4 + 5 + . . .)^{2}} =

............

Find the value of
$\frac{(18^{3} + 7^{3} + 3 \cdot 18 \cdot 7 \cdot 25)}{3^{6} + 6 \cdot 243 \cdot 2 + 15 \cdot 81 \cdot 4 + 20 \cdot 27 \cdot 8 + 15 \cdot 9 \cdot 16 + 6 \cdot 3 \cdot 32 + 64}$

Q. I '+' means X , '-' means

^{'} \div^{'}

'X' means - , and

^{'} \div^{'}

means +, then

16 \div 64 - 8 \times 4 + 2 = ?

1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, 32

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The geometric mean of the observations 2, 4, 8, 16, 32, 64 is

The correct option is D 27/2Geometric mean of 2,4,8,16,32,64 =(2.22.23.24.25.26)1/6=221×1/6=27/2

The correct option is D $2^{7 / 2}$
Geometric mean of $2, 4, 8, 16, 32, 64$ $= {({2.2}^{2} {.2}^{3} {.2}^{4} {.2}^{5} {.2}^{6})}^{1 / 6} = 2^{21 \times 1 / 6} = 2^{7 / 2}$