SOLUTION: Please help with the following. It would be greatly appreciated! Given quadratic pattern: 4;9;X;37 Determine X and Tn

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Question 926793: Please help with the following. It would be greatly appreciated!
Given quadratic pattern:
4;9;X;37
Determine X and Tn

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Given quadratic pattern:
;;;
quadratic: if where starts with , we have
plug in , means first term,


............. [1]


.......... [2]


............ [3]
if you subtract [1] from [2], you get


.....solve for

and [3] - [2]


................plug in
...solve for



, ...now find


so and .now find
............. [1]




then third term will be:


quadratic pattern:
;;;
where =,,,....

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