Base InstinctMath brain teasers require computations to solve.
What is the missing value in the following list?
17 18 21 23 25 ? 101 122 10001
HintThis list ends at 10001. It does not continue to the right.
Check the teaser's title.
AnswerThe missing value is 32.
These are the representations of the decimal value 17 in decreasing number bases, down to binary.
Base 10: 1x10 + 7x1 = 17
Base 9: 1x9 + 8x1 = 17
Base 8: 2x8 + 1x1 = 17
Base 7: 2x7 + 3x1 = 17
Base 6: 2x6 + 5x1 = 17
Base 5: 3x5 + 2x1 = 17 <- Missing value 32
Base 4: 1x16 + 0x4 + 1x1 = 17
Base 3: 1x9 + 2x3 + 2x1 = 17
Base 2: 1x16 + 0x8 + 0x4 + 0x2 +1x1 = 17
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