Instructions:
Answer the following questions on numeric patterns to the best of your ability. Write your answer below each question.
- What is a numeric pattern?
- Describe an example of an arithmetic sequence.
- What is the common difference of an arithmetic sequence?
- What is the formula for determining the nth term of an arithmetic sequence?
- What is the sum of the first 10 terms of the arithmetic sequence 3, 6, 9, 12, ...?
- What is a geometric sequence?
- Describe an example of a geometric sequence.
- What is the common ratio of a geometric sequence?
- What is the formula for determining the nth term of a geometric sequence?
- What is the sum of the first 5 terms of the geometric sequence 2, 4, 8, 16, ...?
- What is a Fibonacci sequence?
- Describe how a Fibonacci sequence is formed.
- What is the relationship between Fibonacci numbers and the golden ratio?
- Write the first 10 terms of the Fibonacci sequence.
Good luck!