Brain Teasers
A Non-Decimal Series
Series
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.Series
What is the next term in the following series?
1, 2, 4, 13, 31, 112, 224, ?
1, 2, 4, 13, 31, 112, 224, ?
Answer
1003These numbers are to the base 5.
Eg: 13 base 5 is 8 in decimals (base 10).
Similarly the others in the series are
Base 5 decimal
31 16
112 32
224 64
Thus the series, in base 10, is:
1, 2, 4, 8, 16, 32, 64
The obvious next term is 128 which, when converted to base 5, gives 1003.
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