91Ó°ÊÓ

Find the indicated term for each geometric sequence. $$ 2,2 \sqrt{2}, 4, \ldots ; \text { the } 8 \text { th term } $$

The nth term of a sequence is given. In each case, find the first 4 terms, the 10 th term, \(a_{10},\) and the 15 th term, \(a_{15},\) of the sequence. $$ a_{n}=\frac{n^{2}-1}{n^{2}+1} $$

Find the indicated term for each geometric sequence. $$ -\frac{8}{243}, \frac{8}{81},-\frac{8}{27}, \ldots ; \text { the } 14 \text { th term } $$

The nth term of a sequence is given. In each case, find the first 4 terms, the 10 th term, \(a_{10},\) and the 15 th term, \(a_{15},\) of the sequence. $$ a_{n}=(-2)^{n+1} $$

Find the indicated term for each geometric sequence. \(\$ 1000, \$ 1080, \$ 1166.40, \ldots ;\) the 12 th term

The nth term of a sequence is given. In each case, find the first 4 terms, the 10 th term, \(a_{10},\) and the 15 th term, \(a_{15},\) of the sequence. $$ a_{n}=(-1)^{n} / n $$

The nth term of a sequence is given. In each case, find the first 4 terms, the 10 th term, \(a_{10},\) and the 15 th term, \(a_{15},\) of the sequence. $$ a_{n}=(-1)^{n} n^{2} $$

The nth term of a sequence is given. In each case, find the first 4 terms, the 10 th term, \(a_{10},\) and the 15 th term, \(a_{15},\) of the sequence. $$ a_{n}=(-1)^{n}\left(n^{3}-1\right) $$

Find the nth, or general, term for each geometric sequence. $$ 1,5,25,125, \dots $$

Find \(a_{17}\) when \(a_{1}=2\) and \(d=5\)