Câu 5:
\(\Rightarrow A=\left(1+3+3^2\right)+\left(3^3+3^4+3^5\right)+....+\left(3^{99}+3^{100}+3^{101}\right)\)
\(\Rightarrow A=13+3^3\left(3+3^2+3^3\right)+....+3^{99}\left(3+3^2+3^3\right)\)
\(\Rightarrow A=13+3^3.13+....+3^{99}.13\)
\(\Rightarrow A=13\left(1+3^3+...+3^{99}\right)⋮13\)