Show that $ (2n - 1)^2 + (2n + 1)^2 = 8n^2 + 2$, where $n \in \mathbb{Z}$. [2] Hence, or otherwi

Question

Show that $ (2n - 1)^2 + (2n + 1)^2 = 8n^2 + 2$, where $n \in \mathbb{Z}$. [2] Hence, or otherwise, prove that the sum of squares of any two consecutive odd integers is even. [3]

Accepted Answer

$f(x) = 4\sqrt{2x^2 + 1} + 1$

Specimen Paper SPEC/5/TZ0 P1 Q3

Specimen Paper SPEC/5/TZ0 P1 Q3