Number Sequence Puzzle Solution

There appears to be two solutions to this problem. The most obvious one involves recognising that the numbers are consecutive powers of 11, so that the next (sixth) number in the sequence is 161051 (11 raised to the power 5).

However, these numbers can be recognised also as the ordered digits in consecutive rows of Pascal’s triangle, so that an equally valid number could be 15101051, being the ordered digits in the sixth row of the triangle.

Editors comment: As with other number sequence problems there are more, but probably less obvious, solutions. Please submit any alternative solutions or comments to webmaster@ima.org.uk