Arithmetic and Geometric Sequences and Series Quiz

Given the sequence  $-29,\ -23,\ -17,\ -11,\ ...$  
Find  $a_{33}$  

• 195

• 163

• 227

• 99

Tags

CCSS.HSF.BF.A.2

Given $a_{39\ }=-\frac{155}{3},\ d=-\frac{4}{3}$  
Find  $a_{32}$  

•  $-\frac{307}{3}$  

•  $-\frac{127}{3}$  

•  $-\frac{121}{3}$  

•  $-\frac{28}{3}$  

Tags

CCSS.HSF.BF.A.2

Given $a_{10}=30.5\ and\ a_{36}=100.7$  in an arithmetic sequence
Find  $a_{24}$  

• 68.3

• 22.3

• 47.3

• 70.3

Tags

CCSS.HSF.BF.A.2

Find the missing terms in the arithmetic sequence $...,\ 1,\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ \frac{8}{3},\ ...$  

•  $\frac{8}{3},\ 5,\ \frac{22}{3},\ \frac{29}{3}$  

•  $\frac{5}{3},\ 2,\ \frac{7}{3},\ \frac{8}{3}$  

•  $\frac{4}{3},\ \frac{5}{3},\ 2,\ \frac{7}{3}$  

•  $\frac{11}{3},\ 6,\ \frac{25}{3},\ \frac{32}{3}$  

Tags

CCSS.HSF.BF.A.2

Evaluate the arithmetic series $7.1+8.8+10.5+12.2...,\ \ n=10$  

• 602

• 295

• 147.5

• 1204

Determine the number of terms  $n$  in the arithmetic series $a_1=-2,\ \ d=-6,\ S_n=-290$  

• 9

• 8

• 10

• 13

Given $-5,\ -\frac{5}{3},\ -\frac{5}{9},\ -\frac{5}{27},\ ...$  
Find  $a_{11}$  

•  $-\frac{5}{59049}$  

•  $-\frac{5}{5120}$  

•  $-\frac{5}{295245}$  

•  $\frac{5}{59049}$  

Tags

CCSS.HSF.BF.A.2

Given $a_2=12\ and\ a_5=-324$  in a geometric sequence
Find  $a_{11}$  

•  $-59049$  

•  $-256$  

•  $78732$  

•  $-236196$  

Tags

CCSS.HSF.BF.A.2

Find the missing terms of the geometric sequence $...,\ -50,\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ _-\ ,\ -\frac{2}{625},\ ...$  

•  $-25,\ -\frac{25}{2},\ -\frac{25}{4},\ -\frac{25}{8},\ -\frac{26}{16}$  

•  $-10,\ -2,\ -\frac{2}{5},\ -\frac{2}{25},\ -\frac{2}{125}$  

•  $-\frac{101}{2},\ -\frac{101}{4},\ -\frac{101}{8},\ -\frac{101}{16},\ -\frac{101}{32}$  

•  $-50,\ -25,\ -\frac{25}{2},\ -\frac{25}{4},\ -\frac{25}{8}$  

Tags

CCSS.HSF.BF.A.2

Evaluate the geometric series $1-6+36-216...,\ \ \ n=6$  

•  $-7040$  

•  $\frac{1}{7}$  

•  $-6665$  

•  $-6205$  

Tags

CCSS.HSA.SSE.B.4