Question

Write the first five terms of each of the sequences in Exercises 1 to 6 whose nth terms are: an = $\frac {n}{n} + 1$

Answer 1

an =$\frac {n}{n} + 1$
Substituting n = 1, 2, 3, 4, 5, we obtain
a1 = $\frac{1}{1} + 1 = \frac{1}{2}$
a2 = $\frac{2}{2} + 1 = \frac{2}{3}$
a3 = $\frac{3}{3} + 1 = \frac{3}{4}$
a4 = $\frac{4}{4} + 1 = \frac{4}{5}$
a5 = $\frac{5}{5} + 1 = \frac{5}{6}$
Therefore, the required terms are $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, and \frac {5}{6}$.