91Ó°ÊÓ

Write the first five terms of the arithmetic or geometric sequence, whose first term, \(a_{1},\) and common difference, \(d\), or common ratio, \(r\) are given. $$ a_{1}=48 ; r=\frac{1}{2} $$

Write the first five terms of each sequence, whose general term is given. See Example 1 $$ a_{n}=2 n $$

Use the partial sum formula to find the partial sum of the given arithmetic or geometric sequence. See Examples 1 and 4 Find the sum of the first four terms of the geometric sequence \(2, \frac{2}{5}, \frac{2}{25}, \dots\)

Evaluate. $$ \sum_{i=1}^{3}\left(\frac{1}{i+5}\right) $$

Use the partial sum formula to find the partial sum of the given arithmetic or geometric sequence. See Examples 1 and 4 Find the sum of the first five terms of the geometric sequence \(\frac{1}{3},-\frac{2}{3}, \frac{4}{3}, \ldots\)

Use Pascal's triangle to expand the binomial. Write the \(n=8\) row of Pascal's triangle.

Write the first five terms of the arithmetic or geometric sequence, whose first term, \(a_{1}\), and common difference, \(d\), or common ratio, \(r\), are given. See Examples 1 and \(6 .\) $$ a_{1}=1 ; r=\frac{1}{3} $$

Evaluate. $$ \sum_{i=2}^{4}\left(\frac{2}{i+3}\right) $$

Write the first five terms of each sequence, whose general term is given. See Example 1 $$ a_{n}=-6 n $$

Find the indicated term of each sequence. See Examples 2 and 7. The eighth term of the arithmetic sequence whose first term is 12 and whose common difference is 3