Answer the following questions about the expression

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Play · Number Play

Problem

n^2+n

, where

n

is an integer. (i) Factorise

n^2+n

. (ii) Using the factorised form, prove that the product of any two consecutive integers is always even. (iii) Solve

n^2+n=132

for integer values of

n