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Questions and Answers
Which term best describes a sequence where each term is obtained by multiplying the previous term by a constant number?
Which term best describes a sequence where each term is obtained by multiplying the previous term by a constant number?
- Prime sequence
- Arithmetic sequence
- Fibonacci sequence
- Geometric sequence (correct)
What is the common ratio of a geometric sequence if the first term is 2 and the second term is 6?
What is the common ratio of a geometric sequence if the first term is 2 and the second term is 6?
- 4
- 1
- 3 (correct)
- 2
If the first term of a geometric sequence is 3 and the common ratio is 0.5, what is the third term?
If the first term of a geometric sequence is 3 and the common ratio is 0.5, what is the third term?
- 1.5 (correct)
- 1
- 0
- 2
Which term best describes a sequence where each term is obtained by adding a constant number to the previous term?
Which term best describes a sequence where each term is obtained by adding a constant number to the previous term?
What is the formula to find the nth term of an arithmetic sequence?
What is the formula to find the nth term of an arithmetic sequence?
If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 6th term?
If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 6th term?
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Study Notes
Geometric Sequence
- A geometric sequence is a sequence where each term is obtained by multiplying the previous term by a constant number.
- The common ratio of a geometric sequence can be found by dividing the second term by the first term.
- For example, if the first term is 2 and the second term is 6, the common ratio is 6/2 = 3.
- If the first term of a geometric sequence is 3 and the common ratio is 0.5, the third term is 3 × 0.5 × 0.5 = 0.75.
Arithmetic Sequence
- An arithmetic sequence is a sequence where each term is obtained by adding a constant number to the previous term.
- The formula to find the nth term of an arithmetic sequence is an = a1 + (n-1)d, where a1 is the first term and d is the common difference.
- For example, if the first term of an arithmetic sequence is 3 and the common difference is 4, the 6th term is 3 + (6-1)4 = 3 + 20 = 23.
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