# Test Your Algebra Quiz

22 Questions | Total Attempts: 50

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An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. The quiz below is designed to help you perfect your skills in solving these mathematical problems. Give it a try and see how high you score. All the best!

Questions and Answers
• 1.
What is the rule for the given sequence of 0, -2, -4, -6, -8, ...?
• A.

Not given

• 2.
What is the rule for the given sequence of 7, 17, 27, 37, 47, ...?
• A.

57

• B.

Not given

• 3.
What is the rule for the given sequence of 3, 6, 12, 24, 48, ... ?
• A.

Not given

• 4.
What is the rule for the given sequence of 81, 27, 9, 3, 1, ... ?
• A.

Not given

• 5.
Is the sequence 1/2, -1, 2, -4, ...  arithmetic or geometric?  Or neither?
• A.

Arithmetic

• B.

Geometric

• C.

Neither

• 6.
Is the sequence 1, 4, 9, 16, ... arithmetic or geometric?  Or neither?
• A.

Arithmetic

• B.

Geometric

• C.

Neither

• 7.
What is the 31st number of the sequence 0.5, 1, 1.5, 2, 2.5, ... ?
• A.

19.5

• B.

15.5

• C.

19

• D.

15

• 8.
What is the 14th number of the sequence 0.5, -1, 2, -4, ... ?
• A.

4096

• B.

-4096

• C.

8192

• D.

-8192

• 9.
Write the series 21 + 20 + 19 + ... + 3 using sigma notation.
• A.

Not given

• 10.
Write the series 3 + 9 + 27 + ... + 6561 using sigma notation.
• A.

Not given

• 11.
Write the series 100 + 20 + 4 + ...  using sigma notation
• A.

Not given

• 12.
Find the sum of the series 2 + 4 + 6 + 8 + ...
• A.

988,562

• B.

20

• C.

Not given

• 13.
Rewrite the decimal 0.213213213... as an infinite geometric series.
• A.

0.213 + 0.000213 + 0.000000213 + ...

• B.

0.2 + 0.01 + 0.003 + 0.0002 + 0.00001 + 0.000003 + ...

• C.

Not given

• 14.
Write the decimal 12.56565656.... as a series using sigma notation.
• A.

Not given

• 15.
The swing set shown in the photo has a "swing coefficient" of 0.85.  The girl in the swing follows a circular arc after each swing, returning to 85% of the previous distance.  During the first full swing, the girl travels a distance of 20 feet.  If the girl continues to swing without interruption, what is the total distance she will travel?
• A.

133.33 feet

• B.

80 feet

• C.

Not given

• 16.
EXTRA CREDIT:  You are making a soup can display similar to the one shown below.  For your display, you want to have 60 soup cans at the bottom level.  How many soup cans will you need to complete this?
• A.

1830

• B.

2552

• C.

1925

• D.

1796

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