Question

i).write down expressions for the next two odd numbers after 2n-3.
ii).find,in its simplest ,the expression for the sum of these three odd numbers.
iii).explain why the sum is an odd number.

Answer 1

(i) 2n-3+2, 2n-3+4
(ii) 2n-3+2n-1+2n+1 = 6n-3
(iii) 6n is always even, and even+odd = odd