Starter quiz
- Which of these could be the first 5 terms in an arithmetic (linear) sequence?
- 1, 3, 6, 10, 15, ...
- 1, 3, 9, 27, 81, ...
- 1, 3, 4, 7, 11, ...
- 1, 3, 5, 7, 9, ... ✓
-
- Which of these could be the first 5 terms in a geometric sequence?
- 1, 3, 6, 10, 15, ...
- 1, 3, 9, 27, 81, ... ✓
- 1, 3, 4, 7, 11, ...
- 1, 3, 5, 7, 9, ...
-
- State the term in the sequence with term rule
- '31' ✓
- Which sequence could be 'two more than the square numbers'?
- 1, 3, 6, 10, ...
- 3, 6, 9, 12, ...
- 3, 6, 11, 18, ... ✓
- 6, 11, 18, 28, ...
- 6, 11, 16, 21, ...
-
- If a geometric sequence starts 4, 8, 16, 32, ... what is the common ratio (multiplier)?
-
- 1
- 2 ✓
- 4
-
- If a geometric sequence starts 8, -12, 18, -27, ... what is the common ratio (multiplier)?
- -2
- -1.5 ✓
- -1
- 0.5
-
Exit quiz
- A sequence where consecutive terms change sign is called __________
- an alternating sequence. ✓
- an arithmetic sequence.
- a Fibonacci sequence.
- a geometric sequence.
- a quadratic sequence.
-
- Match the types of sequence to an example of a possible first 5 terms.
- Alternating⇔2, -4, 6, -8, 10, ... ✓
- Arithmetic⇔2, 4, 6, 8, 10, ... ✓
- Fibonacci⇔2, 4, 6, 10, 16, ... ✓
- Geometric⇔2, 4, 8, 16, 32, ... ✓
- Here are the first 7 terms in the Fibonacci sequence: 1, 2, 3, 5, 8, 13, 21, ... What is the next term?
- '34' ✓
- Here is a Fibonacci sequence. What is the missing first term?: ______, 6, 11, 17, 28, ...
- '5' ✓
- Here is a Fibonacci sequence. What is the missing term?: 4, ___, 2, 0, 2, ...
- -2 ✓
- -1
- 0
- 2
- 6
-
- If the first term in a Fibonacci sequence is 12 and the fourth term is 28, what is the second term?
- '8' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The next term in the Fibonacci sequence is the sum of the previous two terms.
- The Fibonacci sequence can be represented graphically.
- An alternating sequence alternates between positive and negative terms.
Common misconception
Alternating sequences may cause difficulty if negative number skills are not secure.
A review of negative numbers would be useful. Prior lessons can be used for this review if required.
Keywords
Fibonacci - A Fibonacci sequence is a sequence where each term is the sum of the two previous terms.
Alternating - An alternating sequence is a sequence where consecutive terms change sign.
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