Question

N is the middle integer of three consecutive positive integers.

Answer 1

Answer :

$\boxed{\textsf{ The final answer is \textbf{n} ^{\textbf{3}} .}}$

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

The last integer will be :-

$\sf\implies Last \ Integer \ = \ n - 1$

The next Integer will be :-

$\sf\implies Next \ Integer \ = \ n + 1$

Now the Question says that the three integers are multipled to give a product . So that would be.

$\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}$

Now thirdly it's given that n is added to the given integer . That would be ,

$\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3}$

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.