Question

If A and G are A.P and G.P respectively of the numbers 4 and 16 find A-G

Answer 1

SOLUTION

CORRECT QUESTION

If A and G are A.M and G.M respectively of the numbers 4 and 16 find A - G

EVALUATION

Here the given numbers are 4 and 16

Now

Arithmetic mean ( A.M ) is given by

$\displaystyle \sf{ A = \frac{4 + 16}{2} = \frac{20}{2} = 10 }$

Geometric mean ( G.M) is given by

$\sf{G = \sqrt{4 \times 16} = \sqrt{64} = 8 }$

Hence A - G = 10 - 8 = 2

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