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Sequences Practice
Practice Problem #1
What is the next figure in the pattern?
- Triangle
- Square
- Circle
- Octagon
- Hexagon
Answer: e. Hexagon
Practice Problem #2
Let's explore an arithmetic sequence. Find the common difference and continue the sequence by finding the next two numbers.
−2, 9, 20, 31, ...
What is the common difference?
- Hint: How many do you add to get from one number to the next?
- Answer: 11
What are the next two numbers in the sequence?
−2, 9, 20, 31, ___blank, ___blank...
- Hint: Continue the sequence by adding the common difference to the previous term.
- Answer: −2, 9, 20, 31, 42, 53...
Practice Problem #3
Next, let's look at a geometric sequence. Find the common ratio and continue the sequence by finding the next two numbers.
10, 100, 1000, ...
What is the common ratio?
- Hint: How many do you multiply by to get from one number to the next?
- Answer: 10
What are the next two numbers in the sequence?
10, 100, 1000, ___blank, ___blank...
- Hint: Continue the sequence by multiplying the previous term by the common ratio.
- Answer: 10, 100, 1000, 10,000, 100,000...
You've completed this review activity!