5
$\begingroup$

A homemade number sequence puzzle. The sequence is as follows:

001, 1001, 00001, ?, 001001

$\endgroup$

1 Answer 1

7
$\begingroup$

The missing number is:

10011

The pattern is:

The i-th number of the sequence is i+1 squared written in binary and reversed.

i = 1, 2x2 = 4 = 100, reversed gives 001

i = 2, 3x3 = 9 = 1001, reversed gives 1001

i = 3, 4x4 = 16 = 10000, reversed gives 00001

i = 4, 5x5 = 25 = 11001, reversed gives 10011

i = 5, 6x6 = 36 = 100100, reversed gives 001001

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.