R S Aggarwal Solutions for Exercise 1: EXERCISE

If $p^{th}$, $q^{th}$ and $r^{th}$ terms of a $GP$ be $a,b,c$ respectively then $a^{(q-r)}{b}^{(r-p)}$$c^{(p-q)}=?$

If $a,b,c$ are in $\mathrm{AP}$ then $bc,ca,ab$ are in

If $a^2,b^2,c^2$ are in $\mathrm{AP}$ then $(b+c),(c+a),(a+b)$ are in

If $a,b,c$ are in $\mathrm{AP}$ then $\frac{a(b+c)}{bc},\frac{b(c+a)}{ca},\frac{c(a+b)}{ab}$ are in

If $\frac{(b+c-a)}{a},\frac{(c+a-b)}{b},\frac{(a+b-c)}{c}$ are in $\mathrm{AP}$ then $a,b,c$ are in

$(1+2+3+\dots +80)=?$

$\left(1^2+2^2+3^2+\dots +{60}^2\right)=?$

$\left(1^3+2^3+3^3+\dots +{40}^3\right)=?$