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Write the first five terms of each of th...

Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are :
`a_(n)=(n)/(n+1)`

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To find the first five terms of the sequence defined by the nth term \( a_n = \frac{n}{n+1} \), we will substitute values of \( n \) from 1 to 5 into the formula. ### Step-by-step Solution: 1. **Find the first term \( a_1 \)**: \[ a_1 = \frac{1}{1 + 1} = \frac{1}{2} \] 2. **Find the second term \( a_2 \)**: \[ a_2 = \frac{2}{2 + 1} = \frac{2}{3} \] 3. **Find the third term \( a_3 \)**: \[ a_3 = \frac{3}{3 + 1} = \frac{3}{4} \] 4. **Find the fourth term \( a_4 \)**: \[ a_4 = \frac{4}{4 + 1} = \frac{4}{5} \] 5. **Find the fifth term \( a_5 \)**: \[ a_5 = \frac{5}{5 + 1} = \frac{5}{6} \] ### Summary of the first five terms: The first five terms of the sequence are: \[ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6} \]

To find the first five terms of the sequence defined by the nth term \( a_n = \frac{n}{n+1} \), we will substitute values of \( n \) from 1 to 5 into the formula. ### Step-by-step Solution: 1. **Find the first term \( a_1 \)**: \[ a_1 = \frac{1}{1 + 1} = \frac{1}{2} \] ...
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