2
$\begingroup$

$a_{n+1}=\frac{a_n+b_n}{2}$

$b_{n+1}=\sqrt{a_{n+1}b_{n}}$

also, $a_1=a$ and $b_1=b$

can someone find $$\lim_{n\to\infty}a_{n}$$ This question is from guillaume musso's novel. I remember that the answer included $\arccos$ thing..

$\endgroup$
  • $\begingroup$ Which novel, by the way? $\endgroup$ – J.G. Mar 12 at 17:52
  • $\begingroup$ @J.G. La Jeune Fille et la Nuit $\endgroup$ – scitamehtam Mar 13 at 16:56

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.