Arithmetic and Geometric Sequences and Series Review

Given the sequence  $3,\ 1.2,\ -0.6,\ -2.4,\ ...$  , find  $a_{35}$  

• -58.2

• 58.2

• 64.2

• -64.2

Given the sequence $-\frac{7}{5},\ \frac{4}{15},\ \frac{29}{15},\ \frac{18}{5},\ ...$  find  $a_{27}$  

•  $\frac{629}{15}$  

•  $\frac{71}{5}$  

•  $\frac{671}{15}$  

•  $\frac{109}{15}$  

Find the first term in the sequence for which  $a_{31}=197\ and\ d=10$  

•  $-103$  

•  $-113$  

•  $103$  

•  $113$  

Given $a_{26}=38,\ \ d=\frac{3}{2}$  

Find  $a_{35}$  

• 51.5

• 54.5

• 53

• 50

Given $a_{28}=-\frac{157}{9},\ d=-\frac{2}{3}$ ,

 Find  $a_{25}$  

•  $-\frac{139}{9}$  

•  $-\frac{139}{3}$  

•  $-\frac{133}{9}$  

•  $-\frac{133}{3}$  

Given $a_{15}=18.4,\ \ a_{35}=16.4$  

in an arithmetic sequence
Find  $a_{26}$  

• 17.3

• 17.5

• 17.4

• 17

Given $a_{15}=\frac{727}{30},\ \ \ a_{30}=\frac{1477}{30}$  

in an arithmetic sequence

Find  $a_{39}$  

•  $\frac{1927}{30}$  

•  $\frac{1927}{3}$  

•  $\frac{1159}{30}$  

•  $\frac{1159}{15}$  

Find the missing terms in the arithmetic sequence $...\ ,\ 3\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ -51,\ ...$  

•  $-6,\ -15,\ -24,\ -33,\ -42$  

•  $-7.8,\ -18.6,\ -29.4,\ -40.2,\ -51$  

•  $-5,\ -13,\ -23,\ -33,\ -41$  

•  $-6,\ -14,\ -23,\ -31,\ -40$  

Given the arithmetic sequence $...\ ,\ \frac{8}{7},\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ \frac{94}{21},\ ...$  
What is the common difference?

•  $\frac{2}{3}$  

•  $\frac{5}{9}$  

•  $\frac{1}{3}$  

•  $\frac{4}{3}$  

Find the sum of the first 12 terms of the arithmetic series $3.4+5.2+7+8.8\ ...\$  

• 159.6

• 170.4

• 139.2

• 473.28