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Complex
25th April 2006, 08:40 PM
Can anyone help me.

Prove algebraically that the sum of two consecutive square numbers is an odd number.

CoolerShaker
25th April 2006, 10:53 PM
Let the first number be n^2 and the next (n+1)^2

so n^2 + (n+1)^2 = n^2 + n^2 +2n + 1
= 2n^2 + 2n +1
= 2(n^2 +1) + 1

Since n^2+1 is multiplied by 2 it must be even.
Adding 1 to this term makes it odd.