Best Solution
posted on Nov 13, 2009
Rank: Guru
Rating: 90%, 14 votes
The pattern for this sequence is that the difference between one number and the next is four more than the difference between that number and the previous one.
For example:
8 - 2 = 6
18 - 8 = 10
32 - 18 = 14
50 - 32 = 18
So the sequence is:
2, 8, 18, 32, 50, 72, 98, 128, 162, 200, 242, 288, 338, 392, 450, 512, 578, 648, 722, 800, 882, 968, 1058, 1152, 1250, 1352, 1458, 1568, 1682, 1800, 1922, 2048, 2178, 2312, 2450, 2592, 2738, 2888, 3042, 3200, 3362, 3528, 3698, 3872, 4050, 4232, 4418, 4608, 4802, 5000, ...
So the 50th number in the sequence is 5000