What Is The Sequence And The Next Three Terms To 1, 5, 14, 30 And 55?


Answer:
The nth term can be calculated from
S(n) = 1 + (x-1)(4 + (x-2)(3/2 + x/3))

The 6th, 7th, and 8th terms are 91, 140, 204.
_____
The difference between the next number and the one back it is the next perfect square.
55 + 36 = 91
91 + 49 = 140
140 + 64 = 204

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