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The sum of the infinite series \(1+\frac{5}{6}+\frac{12}{{6}^{2}}+\frac{22}{{6}^{3}}+\frac{35}{{6}^{4}}+............\)is…

Q1

The sum of the infinite series \(1+\frac{5}{6}+\frac{12}{{6}^{2}}+\frac{22}{{6}^{3}}+\frac{35}{{6}^{4}}+............\)is equal to:

a

\(\frac{425}{216}\)

b

\(\frac{429}{216}\)

c

\(\frac{288}{125}\)

d

\(\frac{280}{125}\)

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