Ta có:
\(101A-A=\left(101^{31}+101^{32}+...+101^{102}\right)-\left(101^{30}+101^{31}+...+101^{101}\right)=101^{102}-101^{30}\)
\(\Rightarrow A=\frac{101^{102}-101^{30}}{100}.\)
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