Sequences Quiz

Log In


  1. Find a formula for the $n$th term of the sequence $\{25, -1/5, 1, -5, \ldots\}_{n=1}^\infty$.


  2. Find the limit of $a_n = 2^n \cdot 3^{-n}$.


  3. Is $a_n = n + \sin{n}$ bounded? What is $\lim_{n \to \infty} a_n$?


  4. Does $a_n = \sqrt{\dfrac{n+1}{9n+1}}$ converge or diverge? If it converges, find the limit.


  5. Does $a_n = \cos{(n\pi)}(-1/2)^n$ converge? If it converges, find the limit.



Infinite Series Main Page