Grade 11 Geometric Sequences Worksheet
This worksheet focuses on understanding and applying the concepts of geometric sequences for Grade 11 students.
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Geometric Sequences Worksheet
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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, ...
3, 6, 12, 24, ...
1, 2, 3, 4, ...
10, 7, 4, 1, ...
2. What is the common ratio of the geometric sequence 81, 27, 9, 3, ...?
3
1/3
-3
-1/3
3. The general formula for the nth term of a geometric sequence is a_n = a_1 * r^( )
4. If the common ratio of a geometric sequence is 1, then the sequence is a sequence.
5. Find the 7th term of a geometric sequence where the first term is 5 and the common ratio is 2.
6. The third term of a geometric sequence is 18 and the sixth term is 486. Find the common ratio and the first term.
7. A geometric sequence can have a common ratio of zero.
True
False
8. The sum of an infinite geometric series converges if the absolute value of the common ratio is greater than 1.
True
False
9. A culture of bacteria doubles every hour. If there are initially 50 bacteria, how many bacteria will there be after 6 hours? Write the formula for the nth term and then calculate the number of bacteria.