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

Algebra ->  Equations -> SOLUTION: What is the general term of sequence 2, 7, 14, 23 How to derive the solution in every steps, thanks.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
The next term of 2, 7, 14, 23,... is _______:
a. In this sequence, the next term is evaluated by the expression n%5E2+-+2, where first term is 2.
let's check it with given third, fourth, and fifth term:
3%5E2+-+2=9-2=7
4%5E2+-+2=16-2=14
5%5E2+-+2=25-2=23
b. The next term in this sequence is 6%5E2-2=36-2=34
c. The answer is 34.

Answer by stanbon(75887) About Me  (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
---------
General Form: (n+1)^2-2 or n^2+2n-1
-------------
Cheers,
Stan H.