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  4. The sum of the infinite series 1+(5/6)+(12/62)+(22/63)+(35/64)+(51/65)+(70/66)+ ldots . is equal to:

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Q. The sum of the infinite series $1+\frac{5}{6}+\frac{12}{6^{2}}+\frac{22}{6^{3}}+\frac{35}{6^{4}}+\frac{51}{6^{5}}+\frac{70}{6^{6}}+\ldots .$ is equal to:

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Solution:

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$S = \frac{288}{125}$