Arithmetic and Geometric Series QUiz

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

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

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

For n = 1,2,3 . . .the explicit formula,
 a_n = (-3)ⁿ  + 4, will produce the sequence:

• {1, 13, -23, 85. . .}
• {1, -5, -23, -77. . .}
• {1, -2, -5, -8...}
• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

• 149
• 11,200
• 5,600
• 140

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7