Fibonacci type sequences

The Maths Habit

You go up a flight of 5 stairs, one or two stairs at a time. How many different ways can you do it?

8 ways

1 to 5 stairs: 1, 2, 3, 5, 8 ways

Fibonacci type sequence
Each term is the sum of the two terms before it.

Find the next three terms: 3, 4, 7, 11

Next three18, 29, 47

Find the next three terms: 1, 4, 5, 9

Next three14, 23, 37

Find the next three terms: 3, 4, 7, 11

Next three18, 29, 47

Find the next three terms: 9, 3, 12, 15

Next three27, 42, 69

Find the next three terms: 3, 4, 7, 11

Next three18, 29, 47

Find the next three terms: 5, 6, 11, 17

Next three28, 45, 73

Find the next three terms: 3, 4, 7, 11

Next three18, 29, 47

Find the next three terms: 0.3, 0.4, 0.7, 1.1

Next three1.8, 2.9, 4.7

Find the next three terms: 3, 4, 7, 11

Next three18, 29, 47

Find the next three terms: −4, 9, 5, 14

Next three19, 33, 52

Fibonacci type sequences worksheet, page 1

Answer sheet

  1. A Fibonacci type sequence starts a, b. Write the next three terms.

    a + b, a + 2b, 2a + 3b

  2. The third term is 10 and the fourth term is 16. Find the first term.

    4

  3. Fill in the two missing terms of the Fibonacci type sequence 5, ?, ?, 23.

    9 and 14

  1. Find the next three terms of the Fibonacci type sequence 4, 3, 7, 10, …

    17, 27, 44

  2. Find the missing term in the Fibonacci type sequence 6, ?, 15, 24

    9

  3. In a Fibonacci type sequence the 4th term is 11 and the 5th term is 18. Find the 1st term.

    3
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