X + X * (1-x) + X * (1-x) & # 178; + X * (1-x) & # 179; +. + X * (1-x) & # 8319; = do you want to know if there is any mathematical publicity?

X + X * (1-x) + X * (1-x) & # 178; + X * (1-x) & # 179; +. + X * (1-x) & # 8319; = do you want to know if there is any mathematical publicity?


In this paper, we use the sum formula of equal ratio sequence: ① when x = 1, x + X * (1-x) + X * (1-x) & # 178; + X * (1-x) & # 179; +. + X * (1-x) & # 8319; = 1; ② when x ≠ 1, x + X * (1-x) + X * (1-x) & # 178; + X * (1-x) & # 179; + +X*(1-x)ⁿ=X[1+(1-X)+(1-X)²+(1-X)³+…… +...

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