12, 12, 18, 45, 180, 1170, ?

Solution

The ratio between preceding terms of the sequence are in a fibonacci sequence.

For example, 12/12 = 1

18/12 = 1.5

45/18 = 2.5 (which is 1+1.5)

180/45 = 4 (which is 1.5+2.5)

1170/180 = 6.5 (which is 2.5+4)

Hence, the next ratio would be 4+6.5=10.5

And the required number is 1170*10.5 = 12285

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