SOLUTION: Complete the series 889 859 834 814

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Question 1109576: Complete the series
889 859 834 814

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
889 859 834 814

Take successive differences

-30, -25, -20

Continue successive differences using the pattern:

-30, -25, -20, -15, -10, -5, 0, 5, 10, 15, 20

Adding the successive differences:

889, 859, 834, 814, 799, 789, 784, 784, 789, 799, 814 

Since the differences are constants, its a quadratic
form

a%5Bn%5D=expr%281%2F2%29%285n%5E2-75n%2B1848%29

Edwin