SOLUTION: 3;x;10;y;21 is a quadratic pattern .Calculate the values of x and y

Question 865933: 3;x;10;y;21 is a quadratic pattern .Calculate the values of x and y
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
In a quadratic pattern, the 2nd differences are equal.
The first differences are x-3, 10-x, y-10, 21-y
The second differences are 10-x - (x-3), y-10 - (10-x), 21-y - (y-10)
The second differences are equal to one another:
y-10 - (10-x) = 10-x - (x-3),21-y -(y-10) = y-10 - (10-x) Solving for y in terms of x in the 1st equation gives y = 33 - 3x
Substituting in the 2nd equation gives x = 6
Therefore, y = 33 - 3*6 = 15
So the pattern is 3,6,10,15,21
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