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Geometric Series

Authored by Breona Tuft

Mathematics

11th - 12th Grade

7 Questions

CCSS covered

Used 1+ times

Geometric Series
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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the geometric series described.
 3+15+75+375...,    n=63+15+75+375...,\ \ \ \ n=6  

11,718

10,603

9,769

 34-\frac{3}{4}  

Tags

CCSS.HSA.SSE.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the geometric series 12+48, ...,       n=81-2+4-8,\ ...,\ \ \ \ \ \ \ n=8  

 13\frac{1}{3}  

-86

-87

-85

Tags

CCSS.HSA.SSE.B.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 a1=2,   r=2,   Sn=22a_1=-2,\ \ \ r=-2,\ \ \ S_n=22  Determine the number of terms n in the series


6

7

8

5

Tags

CCSS.HSA.SSE.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 2, 10, 50, 250, ...2,\ 10,\ 50,\ 250,\ ...  Find the explicit formula


 an=104(n1)a_n=10\cdot4^{\left(n-1\right)}  

 an=25(n1)a_n=2\cdot5^{\left(n-1\right)}  

 an=105(n1)a_n=10\cdot5^{\left(n-1\right)}  

 an=52(n1)a_n=5\cdot2^{\left(n-1\right)}  

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the common ratio: 16, 8, 4, 2, ...

r = 2
r = 8
r = 1/4
r = 1/2

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the common ratio: -3, -9, -27, -81, ...

r = 6
r = -6
r = 3
r = -3

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Find the sum of the finite geometric series:

88419

78124

91846

92234

Tags

CCSS.HSA.SSE.B.4

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