Fibonacci Pattern

Free interactive math game: Fibonacci Pattern — Each = sum of two prev. Part of the Sequences category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. 6, 3, 9, 12, 21, 33, 54, ? (Each term is the sum of the two previous)
  2. 2, 1, 3, 4, 7, 11, 18, ? (Each term is the sum of the two previous)
  3. 5, 3, 8, 11, 19, 30, 49, ? (Each term is the sum of the two previous)
  4. 3, 6, 9, 15, 24, 39, 63, ? (Each term is the sum of the two previous)

About this exercise

Sequences where each term is the sum of the two before it.

How to solve it

Add the two most recent terms to get the next one.

Worked example

In 1, 1, 2, 3, 5, 8 the next term is 5 + 8 = 13.

Common mistake

Looking for a constant difference or ratio. Fibonacci-style sequences have neither.