求1+2+2^2+2^3+…+2^2012的值,可令S=1+2+2^2+2^3+…+2^2012,则2S=2+2^2+2^3+2^4+…+2^2012+2^2013,因此2S-S=2^2013-1.仿照以上推理,计算出1+5+5^2+5^3+…+5^2012的值为?怎么算呢?
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