Problem 47
For the following exercises, graph the first five terms of the indicated sequence $$ a_{n}=\frac{(-1)^{n}}{n}+n $$
Problem 51
For the following exercises, graph the first five terms of the indicated sequence $$ a_{n}=\frac{(n+1) !}{(n-1) !} $$
Problem 94
For the following exercises, find the first term given two terms from an arithmetic sequence. Find the first term or \(a_{1}\) of an arithmetic sequence if \(a_{11}=11\) and \(a_{21}=16\)
Problem 102
For the following exercises, write a recursive formula for each arithmetic sequence. $$ a_{n}=\\{12,17,22, \ldots\\} $$
Problem 105
For the following exercises, write a recursive formula for each arithmetic sequence. $$ a_{n}=\\{-0.52,-1.02,-1.52, \dots\\} $$
Problem 125
For the following exercises, find the number of terms in the given finite arithmetic sequence. $$ a_{n}=\\{1.2,1.4,1.6, \dots, 3.8 | $$
Problem 150
Describe how exponential functions and geometric sequences are similar. How are they different?
Problem 182
Write an explicit formula for each geometric sequence. \(a_{n}=\\{0.8,-4,20,-100, \ldots\\}\)
Problem 239
For the following exercises, use the formula for the sum of the first \(n\) terms of an arithmetic series to find the sum. $$-1.7+-0.4+0.9+2.2+3.5+4.8$$
Problem 265
A scientist places 50 cells in a petri dish. Every hour, the population increases by 1.5\(\%\) . What will the cell count be after 1 day?