SOLUTION: 2, 4, 36, ?, 150, 180.............the missing term

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Question 480578: 2, 4, 36, ?, 150, 180.............the missing term

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
{2,4,36,__,150,180,...}
Note: a%5B1%5D = 1^2*2 (n+1)
a%5B2%5D = 2^2 * (n-1)
a%5B3%5D = 3^2*(n+1)
etc
a%5Bn%5D+=+n%5E2%28n+%2B+%28-1%29%5E%28n%2B1%29%29
a%5B4%5D = 16*(4-1) = 15*3 = 48