Calculus: Early Transcendentals 8th Edition

The first five terms are $\frac{2}{3}, \frac{4}{5}, \frac{8}{7}, \frac{16}{9}, \frac{32}{11}.$
To find the first five terms of the sequence $a_n = \frac{2^n}{2n + 1}$, we must plug in $n=1, n=2, n=3, n=4,$ and $n=5.$ Hence we see that the first five terms are $\frac{2}{3}, \frac{4}{5}, \frac{8}{7}, \frac{16}{9}, \frac{32}{11}.$