October 22, 2016

Problem No. 13. Sequence of numbers

Continue the following number sequence:

7, 3, 0, 3, 3, 6, 9, 5, …

Parent tip

Children love finding solutions together with their parents. Pretend that it is a difficult problem.












Solution

The sequence can be continued like this
7, 3, 0, 3, 3, 6, 9, 5, 4, 9, 3, 2, …
The rule is that each number is the sum of the previous two numbers modulo 10 i.e. each number is the reminder of dividing the sum of the previous two numbers with 10.

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