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.
ii).find,in its simplest ,the expression for the sum of these three odd numbers.
iii).explain why the sum is an odd number.
Answers
oobleck
(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
(ii) 2n-3+2n-1+2n+1 = 6n-3
(iii) 6n is always even, and even+odd = odd