Geometric Series Worksheet
A Grade 12 math worksheet focusing on understanding and applying the concepts of geometric series, including finite and infinite series, common ratio, and sum formulas.
Includes
Standards
Topics
Geometric Series
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following sequences is a geometric sequence?
2, 4, 6, 8, ...
1, 3, 6, 10, ...
3, 9, 27, 81, ...
10, 5, 0, -5, ...
2. In a geometric series, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the .
3. An infinite geometric series converges if the absolute value of the common ratio is than 1.
4. Find the sum of the first 6 terms of the geometric series: 2, 6, 18, ...
5. Determine if the following infinite geometric series converges or diverges. If it converges, find its sum: 1 + 1/2 + 1/4 + 1/8 + ...
6. The common ratio (r) for the series 8, 4, 2, 1, ... is 2.
True
False
7. A ball is dropped from a height of 10 meters. After each bounce, it rises to 80% of its previous height. What is the total vertical distance the ball travels before coming to rest?