### Brain Teasers

# 4, 16, 37, 58 ...

Series
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.Series

What is the next number in the series:

4, 16, 37, 58, 89, 145, 42, 20?

4, 16, 37, 58, 89, 145, 42, 20?

### Answer

Each number of the series is the sum of the squares of the individual digits contained in the preceding number. For example, the sum of the squares of the digits in the number 37 is (3 x 3) + (7 x 7) which is 58, the number in the series after 37. The answer is therefore 4, which is (2 x 2) + (0 x 0). This means that the series has started to repeat itself.Hide Answer Show Answer

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