Factor
\frac{10^{n+1}+500\times 1000^{n}-50\times 100^{n}-1}{3}
Evaluate
\frac{10^{n+1}+500\times 1000^{n}-50\times 100^{n}-1}{3}
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\frac{\left(5\times 10^{n}-2\right)\times 10^{2n+2}+15\times 10^{n}\times 10^{n+1}+10^{n+1}-1}{3}
Factor out \frac{1}{3}.
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