Question

Frame the formula for the condition:

The product of three consecutive numbers (with smallest number $x$) is $210$.

Answer 1

Framing the formula

Let the three consecutive numbers be $x,x+1$ and $x+2$

According to the given condition, we can frame the formula as,

$\Rightarrow x\times (x+1)\times (x+2)=210$

$\Rightarrow (x^2+x)\times (x+2)=210$

$\Rightarrow x^3+2x^2+x^2+2x=210$

$\Rightarrow x^3+3x^2+2x=210$

Hence, the formula will be $x^3+3x^2+2x=210$.