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1(1+x)(1+2x)+1(1+2x)(1+3x)+1(1+3x)(1+4x)+⋯\large \dfrac{1}{(1+x)(1+2x)}+\dfrac{1}{(1+2x)(1+3x)}+\dfrac{1}{(1+3x)(1+4x)} + \cdots (1+x)(1+2x)1+(1+2x)(1+3x)1+(1+3x)(1+4x)1+⋯
Find the closed form of the sum of the series above up to nnn terms.
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