Evaluate
5^{n}+5^{10n}+5^{11n}+5^{12n}+5^{13n}+25^{n}+125^{n}+625^{n}+3125^{n}+15625^{n}+78125^{n}+390625^{n}+1953125^{n}
Differentiate w.r.t. n
\ln(5)\times 5^{n}\left(5^{4n+1}+2\times 5^{n}+3\times 5^{2n}+4\times 5^{3n}+6\times 5^{5n}+7\times 5^{6n}+8\times 5^{7n}+9\times 5^{8n}+10\times 5^{9n}+11\times 5^{10n}+12\times 5^{11n}+13\times 5^{12n}+1\right)
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