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 \(\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, and \frac {5}{6}\).