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Series and Sequences Test

Authored by Christy Bass

Mathematics

10th - 12th Grade

CCSS covered

Series and Sequences Test
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25 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

  i=25(i+i2)\ \sum_{i=2}^5\left(i+i^2\right)  Evaluate. 

70

68

108

58

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A geometric sequence is given below. Find the explicit formula for the  nthn^{th}  term of this sequence.  10, 18, 32.4, 58.32, ...10,\ 18,\ 32.4,\ 58.32,\ ...  

 an=10(1.8)n1a_n=10\left(1.8\right)^{n–1}  

 an=10(8)n1a_n=10\left(8\right)^{n–1}  

 an=10(0.8)n1a_n=10\left(0.8\right)^{n-1}  

 an=8n+2a_n=8n+2  

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the sum of the first 25 terms of this sequence:

3, 7, 11, 15,...

1098

1250

1550

1275

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The following series is arithmetic: 5+8+11+...+1165+8+11+...+116   
Determine the number of terms in this series. Hint: find n

4

28

36

38

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the 22nd term of the following sequence:
5, 8, 11, ...

14
68
63
71

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the common difference.
97, 86, 75, 64, ...

8
11
-11
-8

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find Sn for the given series:
a1=22
d=-8
n=21

1911
-1449
-2436
-1218

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