Arithmetic Series
Definition: An arithmetic series is a sum of consecutive terms of an arithmetic sequence.
Find the value of the following arithmetic series using the formula:
Find the sum of the odd numbers from 9 to 199.
Compute the following sums.
Find three number in an arithmetic sequence such that the sum of the first and third is 10 and the
product of the first and the second is 15.
7.3 Geometric Sequences
Definition: A sequence is geometric if the ratio between successive terms is always the same. This
ratio is called the common ratio.
Find the common ratio:
Find a recursive definition and an explicit definition for the sequences above.
In 2002, Britney Gallivan of Pomona, California, set a world record by folding a piece of paper in
half 12 times. The resulting pile of paper was about 1 foot long. How long was the paper before she
folded it?
Geometric Series
Definition: A geometric series is a sum of consecutive terms of a geometric sequence.
Find the value of the following finite geometric series using the formula:
Find the value of the following infinite geometric series using the formula:
Find the following sums, if they exist:
Find fraction notation for the following infinitely repeating decimals:
A ping-pong ball is dropped from a height of 16 feet and always rebounds ¼ of the distance fallen.
How far has the ball traveled when it bounces the fourth time?