How do you write the first six terms of the sequence a_n=n/(n+1)?

Oct 21, 2016

The $n$ subscript tells us which term of the sequence it is.

so ${u}_{1}$ is the first term so $n = 1$ and we substitute $n = 1$ into the expression. ${u}_{2} ,$ is when $n = 2$ etc.

Explanation:

we have therefore:

${a}_{n} = \frac{n}{n + 1}$

${a}_{1} = \frac{1}{1 + 1} = \frac{1}{2}$

${a}_{2} = \frac{2}{2 + 1} = \frac{2}{3}$

${a}_{3} = \frac{3}{3 + 1} = \frac{3}{4}$

${a}_{4} = \frac{4}{4 + 1} = \frac{4}{5}$

${a}_{5} = \frac{5}{5 + 1} = \frac{5}{6}$

${a}_{6} = \frac{6}{6 + 1} = \frac{6}{7}$