13.2 Arithmetic sequences  (Page 6/8)

$a_n=24-4n$

$a_n=\frac{1}{2}n-\frac{1}{2}$

$a_n=\{3,5,7,\mathrm{...}\}$

$a_n=\{32,24,16,\mathrm{...}\}$

$a_n=\{-5\text{, }95\text{, }195\text{, }\mathrm{...}\}$

$a_n=\left\{\mathrm{-17}\text{, }\mathrm{-217}\text{, }\mathrm{-417}\text{,}\mathrm{...}\right\}$

$a_n=\left\{1.8\text{, }3.6\text{, }5.4\text{, }\mathrm{...}\right\}$

$a_n=\{\mathrm{-18.1},\mathrm{-16.2},\mathrm{-14.3},\mathrm{...}\}$

$a_n=\{15.8,18.5,21.2,\mathrm{...}\}$

$a_n=\left\{\frac{1}{3},-\frac{4}{3},\mathrm{-3}\text{, }\mathrm{...}\right\}$

$a_n=\left\{0,\frac{1}{3},\frac{2}{3},\mathrm{...}\right\}$

$a_n=\left\{-5,-\frac{10}{3},-\frac{5}{3},\dots \right\}$

$a_n=\{3\text{,}-4\text{,}-11\text{, }\mathrm{...}\text{,}-60\}$

$a_n=\{1.2,1.4,1.6,\mathrm{...},3.8\}$

$a_n=\left\{\frac{1}{2},2,\frac{7}{2},\mathrm{...},8\right\}$

$a_1=0,d=4$

$a_1=9;a_n=a_{n-1}-10$

$a_n=-12+5n$

What are the first seven terms shown in the column with the heading $u(n)\text{?}$

Use the scroll-down arrow to scroll to $n=50.$ What value is given for $u(n)\text{?}$

Press [WINDOW] . Set $n\text{Min}=1,n\text{Max}=5,x\text{Min}=0,x\text{Max}=6,y\text{Min}=-1,$ and $y\text{Max}=14.$ Then press [GRAPH] . Graph the sequence as it appears on the graphing calculator.

What are the first seven terms shown in the column with the heading $u(n)$ in the TABLE feature?

Graph the sequence as it appears on the graphing calculator. Be sure to adjust the WINDOW settings as needed.

Give two examples of arithmetic sequences whose 4 ^th terms are $9.$

Give two examples of arithmetic sequences whose 10 ^th terms are $206.$

Find the 5 ^th term of the arithmetic sequence $\{9b,5b,b,\dots \}.$

Find the 11 ^th term of the arithmetic sequence $\{3a-2b,a+2b,-a+6b\dots \}.$

At which term does the sequence $\{5.4,14.5,23.6,\mathrm{...}\}$ exceed 151?

At which term does the sequence $\left\{\frac{17}{3},\frac{31}{6},\frac{14}{3},\mathrm{...}\right\}$ begin to have negative values?

For which terms does the finite arithmetic sequence $\left\{\frac{5}{2},\frac{19}{8},\frac{9}{4},\mathrm{...},\frac{1}{8}\right\}$ have integer values?

Write an arithmetic sequence using a recursive formula. Show the first 4 terms, and then find the 31 ^st term.

Write an arithmetic sequence using an explicit formula. Show the first 4 terms, and then find the 28 ^th term.