SOLUTION: What is the general term of sequence 2, 7, 14, 23 How to derive the solution in every steps, thanks.

Question 672512: What is the general term of sequence 2, 7, 14, 23
How to derive the solution in every steps, thanks.
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
The next term of , , , ,... is _______:
a. In this sequence, the next term is evaluated by the expression , where first term is .
let's check it with given third, fourth, and fifth term:

b. The next term in this sequence is
c. The answer is .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the general term of sequence 2, 7, 14, 23
How to derive the solution in every steps,
----
Notice 2 = 2^2-2
7 = 3^2-2
14 = 4^2-2
23 = 5^2-2
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General Form: (n+1)^2-2 or n^2+2n-1
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Cheers,
Stan H.
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