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Quantitative Aptitude

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56.if a is th...

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56.if a is the AM between b and c, b the GM between a and c, then show that 1/a, 1/c, 1/b are in AP.

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Q. If a, b, c are in AP, and p,

p^{^{'}}

are in AM and GM respectively between a and b, while q,

q^{^{'}}

are the AM and GM respectively between b and c, then

If a, b, c are in AP, show that

$\frac{1}{(\sqrt{b} + \sqrt{c})}, \frac{1}{(\sqrt{c} + \sqrt{a})}, \frac{1}{(\sqrt{a} + \sqrt{b})}$ are in AP.

\frac{a^{n} + b^{n}}{a^{n - 1} + b^{n - 1}}

is the AM between a and b, then the value of n is

\frac{a^{n + 1} + b^{n + 1}}{a^{n} + b^{n}}

is the AM between a and b. Then, find the value of n.

\frac{a^{n} + b^{n}}{a^{n - 1} + b^{n - 1}}

G M

a

b

, then the value of

n

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