Talk:2010 AMC 10B Problems/Problem 24

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Apologies if this amounts to trolling, but I ran across this problem helping my child. Using brute force, I constructed a solution that makes this problem's answer not only nonunique, it is also represented as one of the incorrect answers. Examining the official solution, there is no requirement for coefficient 'a' to be equal for both progressions. The only required relation between the two sequences is that they total one point apart.

Counterexample:

Raiders box score: 1 4 16 64 = 85 Wildcats box score: 9 17 25 33 = 84

First half score is 31. Did I miss something?