Question

the series a, (ab) 1/2, b is in​

Answer 1

Answer:

b=1

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Answer 2

$a,(ab)^{\frac{1}{2}},b$ are in Geometric Progression.

Tips:

If $a,b,c$ are geometric progression, then we have the following relation:

$\dfrac{b}{a}=\dfrac{c}{b}$

$\Rightarrow b^{2}=ac$

$\Rightarrow b=\sqrt{ac}$

It shows that the middle term of the progression is the square root of the product of the terms on two sides.

Step-by-step explanation:

Given, $a,b$ are the terms on two sides. So the required middle term

$=\sqrt{ab}$

$=(ab)^{\frac{1}{2}}$

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