**Geoffrey, as a 5th grader,
generalizes Q/N + (Q/N) ^{2} + (Q/N)^{3} + (Q/N)^{4} +
...**

Geoffrey found patterns in the numerators and denominators of the partials sums. Then he found that if the infinite series started with 1/N it would go to 1/(N-1) below.

That night his Dad worked with Geoffrey using *Mathematica *to
do the infinite sum, shown below:

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