Question

Write the friest five terems if the series whose nth term is n/n +1

Answer 1

Step-by-step explanation:

$Given : a_n \: = \frac{n}{n + 1} \\ substituting \: n \: = 1, \: 2, \: 3, \: 4 \: and \: 5 \\ \therefore \: a_1 \: = \frac{1}{1 + 1} = \frac{1}{2} \\ \: a_2 \: = \frac{2}{2 + 1} = \frac{2}{3} \\ \: a_3 \: = \frac{3}{3 + 1} = \frac{3}{4} \\ \: a_4 \: = \frac{4}{4 + 1} = \frac{4}{5} \\ \: a_5 \: = \frac{5}{5 + 1} = \frac{5}{6} \\ thus \: the \: five \: terms \: of \: the \: given \: \\ series \: are: \frac{1}{2}, \: \frac{2}{3}, \: \frac{3}{4}, \: \frac{4}{5}, \: \frac{5}{6}\: .$