Question 11.11.1.1: Writing the First Several Terms of a Sequence Write down the......

Writing the First Several Terms of a Sequence

Write down the first six terms of the following sequence and graph it.

\left\{a_{n}\right\}=\left\{{\frac{n-1}{n}}\right\}
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The first six terms of the sequence are

a_{1}={\frac{1-1}{1}}=0,\;a_{2}={\frac{2-1}{2}}={\frac{1}{2}},\;a_{3}={\frac{3-1}{3}}=\frac{2}{3},\;a_{4}={\frac{3}{4}},\;a_{5}={\frac{4}{5}},\;a_{6}={\frac{5}{6}}

See Figure 2 for the graph.

Precalculus_ Concepts Through Functions, A Unit Circle Approach to Trigonometry [1481615]_2023-09-07_22.41_02
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