can anyone tell me how to prove that
\(\displaystyle \
x_n = \frac{{x_0^2 + x_1^2 + ... + x_{n - 1}^2 + 1}}{n}
\\)
and
\(\displaystyle \
x_n = \frac{{x_{n - 1} \left( {x_{n - 1} \left( {n - 1} \right)} \right)}}{n}
\\)
are equal?
I can't get the last x sub n-1 term to appear. Thanks!
\(\displaystyle \
x_n = \frac{{x_0^2 + x_1^2 + ... + x_{n - 1}^2 + 1}}{n}
\\)
and
\(\displaystyle \
x_n = \frac{{x_{n - 1} \left( {x_{n - 1} \left( {n - 1} \right)} \right)}}{n}
\\)
are equal?
I can't get the last x sub n-1 term to appear. Thanks!
