Question

If a, b, c are in AP, then $\frac{a}{bc},\frac{1}{c},\frac{2}{b}$ are in

• A. AP
• B. GP
• C. HP
• D. None of these

Answer 1

Answer: (A)

AP

Given,

$a,b,c$ are in AP

$\Rightarrow 2b=a+c$

now, dividing by $bc$, we get,

$\frac{2b}{bc}=\frac{a}{bc}+\frac{c}{bc}$

$\Rightarrow \frac{2}{c}=\frac{a}{bc}+\frac{1}{b}$

$\therefore \frac{a}{bc},\frac{1}{c},\frac{2}{b}$ are in AP