Grade 11 Geometric Sequences Worksheet
This worksheet focuses on understanding and applying the concepts of geometric sequences for Grade 11 students.
Includes
Standards
Topics
Geometric Sequences Worksheet
Name:
Date:
Score:
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.
Related Worksheets
Grade 11 Arithmetic Series Worksheet
This worksheet covers key concepts of arithmetic series for Grade 11 students, including finding the nth term, sum of n terms, and solving related problems.
Graphing Sequences Worksheet
This worksheet focuses on graphing arithmetic and geometric sequences, analyzing their patterns, and predicting future terms.
Fibonacci Numbers Worksheet
Explore the fascinating world of Fibonacci numbers, their sequence, properties, and connection to the golden ratio.
Grade 11: Arithmetic Sequences Word Problems
This worksheet helps students practice solving real-world problems involving arithmetic sequences, including finding specific terms, sums, and common differences.
Recursive and Explicit Formulas Worksheet
Explore recursive and explicit formulas for sequences, including arithmetic and geometric progressions, with this Grade 11 math worksheet.
Fibonacci Sequence Exploration
Explore the properties and applications of the Fibonacci sequence, including its recursive definition, explicit formula, and presence in nature.