# Thread: Find largest term of the sequence?

1. ## Find largest term of the sequence?

Find the largest term of the sequence whose $n^{th}$ term is given by:

$t_n = \frac{n^2}{n^3 + 5}$

2. Originally Posted by fardeen_gen
Find the largest term of the sequence whose $n^{th}$ term is given by:

$t_n = \frac{n^2}{n^3 + 5}$
The maximum value of $f(x) = \frac{x^2}{x^3 + 5}$ occurs when $x = \sqrt[3]{10}$.

So which is bigger: $\frac{4}{13}$ or $\frac{9}{32}$?