Science:Math Exam Resources/Courses/MATH105/April 2014/Question 06 (b)/Hint 2

By the Divergence Test, we must have that the terms of ${\frac {na_{n}-2n+1}{n+1}}$ approach zero as $n\rightarrow \infty$. Thus, $\lim _{n\rightarrow \infty }{\frac {na_{n}-2n+1}{n+1}}=0$. Can you use this to obtain more information about the terms of $a_{n}$?