If $A_{1},\ A_{2}$ are two A$\ \bullet$ M’s between $a$ and $b$ and $G_{1},\ G_{2}$ are two GM’s between $a$ and $b$ then $\frac{A_{1} + A_{2}}{G_{1}G_{2}}$ is

Question

Dr. Abubacker · Accepted Answer

(a)
$a,\ A_{1},\ A_{2},\ b$ are in AP
$	herefore\ A_{1} - a = b - A_{2}$
$\Rightarrow \ A_{1} + A_{2} = a + b$
And $a,\ G_{1},\ G_{2},b$ are in GP.
$	herefore\ \ \frac{G_{1}}{a} = \frac{b}{G_{2}}$
$\Rightarrow G_{1}G_{2} = ab$
$	herefore\ \ \frac{A_{1} + A_{2}}{G_{1}G_{2}} = \frac{a + b}{ab}$

Q. If $A_{1},\ A_{2}$ are two A$\ \bullet$ M’s between $a$ and $b$ and $G_{1},\ G_{2}$ are two GM’s between $a$ and $b$ then $\frac{A_{1} + A_{2}}{G_{1}G_{2}}$ is

Explanation

Reviewed by Dr. Abubacker

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