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If ∑i=1Nϕi=4180+6764ϕ\displaystyle \sum_{i=1}^N \phi^i = 4180 + 6764\phii=1∑Nϕi=4180+6764ϕ, where ϕ=1+52\phi=\frac{1+\sqrt{5}}{2}ϕ=21+5, what is N?
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