SOLUTION: 2, 3, 7, 16, 32, 57 What is the general term�? tn=? I've figured out that the sequence goes up by 1 then 4 then 9 then 16 then 25 always increasing by 2 more then the last num

Question 885435: 2, 3, 7, 16, 32, 57
What is the general term�? tn=?
I've figured out that the sequence goes up by 1 then 4 then 9 then 16 then 25 always increasing by 2 more then the last number increase by
but my problem is that I don't know how to write the general term
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
2 1 3 2 0 0
3 4 5 2 0 0
7 9 7 2 0
16 16 9 2
32 25 11
57 36
93
7th term could be 93
The first difference is 1^2, 2^3, 3^2, 4^2, 5^2,6^2
The second difference is 3,5,7,9,11
the third difference is 2

2
3
7
16
32
57
93
142
206

Tn=(1/3)*x^3+(-1/2)*x^2+(1/6)*x+2

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