so the sequence is
{$\displaystyle \sqrt2, \sqrt(2+\sqrt2),\sqrt(2+\sqrt(2+\sqrt2), ...$ }
i need to prove by induction that the sequence is monotonic and bounded.
i can see how its monotonic, but how do i prove its bounded? and what is induction?
so the sequence is
{$\displaystyle \sqrt2, \sqrt(2+\sqrt2),\sqrt(2+\sqrt(2+\sqrt2), ...$ }
i need to prove by induction that the sequence is monotonic and bounded.
i can see how its monotonic, but how do i prove its bounded? and what is induction?