9.2 Arithmetic sequences  (Page 5/8)

What are the main differences between using a recursive formula and using an explicit formula to describe an arithmetic sequence?

Describe how linear functions and arithmetic sequences are similar. How are they different?

$\{5,11,17,23,29,\mathrm{...}\}$

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

$\{11.4,9.3,7.2,5.1,3,\mathrm{...}\}$

$\{4,16,64,256,1024,\mathrm{...}\}$

$a_1=\mathrm{-25}$ , $d=\mathrm{-9}$

$a_1=0$ , $d=\frac{2}{3}$

$a_1=17,a_7=-31$

$a_{13}=-60,a_{33}=-160$

First term is 3, common difference is 4, find the 5 ^th term.

First term is 4, common difference is 5, find the 4 ^th term.

First term is 5, common difference is 6, find the 8 ^th term.

First term is 6, common difference is 7, find the 6 ^th term.

First term is 7, common difference is 8, find the 7 ^th term.

Find the first term or $a_1$ of an arithmetic sequence if $a_6=12$ and $a_{14}=28.$

Find the first term or $a_1$ of an arithmetic sequence if $a_7=21$ and $a_{15}=42.$

Find the first term or $a_1$ of an arithmetic sequence if $a_8=40$ and $a_{23}=115.$

Find the first term or $a_1$ of an arithmetic sequence if $a_9=54$ and $a_{17}=102.$

Find the first term or $a_1$ of an arithmetic sequence if $a_{11}=11$ and $a_{21}=16.$

$a_1=33$ and $a_7=-15.$ Find $a_4.$

$a_3=-17.1$ and $a_{10}=-\mathrm{15.7.}$ Find $a_{21}.$

$a_1=39;a_n=a_{n-1}-3$

$a_1=-19;a_n=a_{n-1}-1.4$

$a_n=\left\{40,60,80,\mathrm{...}\right\}$

$a_n=\{17,26,35,\mathrm{...}\}$

$a_n=\{-1,2,5,\mathrm{...}\}$

$a_n=\{12,17,22,\mathrm{...}\}$

$a_n=\{-15,-7,1,\mathrm{...}\}$

$a_n=\{8.9,10.3,11.7,\mathrm{...}\}$

$a_n=\{-0.52,-1.02,-1.52,\mathrm{...}\}$

$a_n=\left\{\frac{1}{5},\frac{9}{20},\frac{7}{10},\mathrm{...}\right\}$

$a_n=\left\{-\frac{1}{2},-\frac{5}{4},-2,\mathrm{...}\right\}$

$a_n=\left\{\frac{1}{6},-\frac{11}{12},-2,\mathrm{...}\right\}$

$a_n=\left\{7\text{, }4\text{, }1\text{, }\mathrm{...}\right\};$ Find the 17 ^th term.

$a_n=\left\{4\text{, }11\text{, }18\text{, }\mathrm{...}\right\};$ Find the 14 ^th term.

$a_n=\left\{2\text{, }6\text{, }10\text{, }\mathrm{...}\right\};$ Find the 12 ^th term.