\(
\eqalign{
& Gegeven:n\,\,en\,\,n + 2 \cr
& \frac{1}
{n} + \frac{1}
{{n + 2}} = \frac{{2n + 2}}
{{n^2 + 2n}} \cr
& (2n + 2)^2 + \left( {n^2 + 2n} \right)^2 = \left( {n^2 + 2n + 2} \right)^2 \cr
& Voorbeeld: \cr
& Neem\,\,\,n = 1 \cr
& 1 + \frac{1}
{3} = \frac{4}
{3} \cr
& 4^2 + 3^2 = 5^2 \cr}
\)