1.
What is the rule for the given sequence of 0, -2, -4, -6, -8, ...?
2.
What is the rule for the given sequence of 7, 17, 27, 37, 47, ...?
3.
What is the rule for the given sequence of 3, 6, 12, 24, 48, ... ?
4.
What is the rule for the given sequence of 81, 27, 9, 3, 1, ... ?
5.
Is the sequence 1/2, -1, 2, -4, ... arithmetic or geometric? Or neither?
6.
Is the sequence 1, 4, 9, 16, ... arithmetic or geometric? Or neither?
7.
What is the 31st number of the sequence 0.5, 1, 1.5, 2, 2.5, ... ?
8.
What is the 14th number of the sequence 0.5, -1, 2, -4, ... ?
9.
Write the series 21 + 20 + 19 + ... + 3 using sigma notation.
10.
Write the series 3 + 9 + 27 + ... + 6561 using sigma notation.
11.
Write the series 100 + 20 + 4 + ... using sigma notation
12.
Find the sum of the series 2 + 4 + 6 + 8 + ...
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.
14.
Write the decimal 12.56565656.... as a series using sigma notation.
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?
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?