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Find the sum to infinity of the series $1 + \frac{2}{3} + \frac{6}{3^{2}} + \frac{10}{3^{3}} + \frac{14}{3^{4}} + ......$ is

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Correct option is B

Let S=1+23+632+1033+1434+….(1)13S=13+232+633+1034+…...(2) Subtracting (2) from (1) S1−13=1+13+432+433+434+…..S23=43+4321+13+132+…..23S=43+43211−13=43+432,32=2∴S=3

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Find the sum to infinity of the series 1+23+632+1033+1434+...... is

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Find the sum to infinity of the series $1 + \frac{2}{3} + \frac{6}{3^{2}} + \frac{10}{3^{3}} + \frac{14}{3^{4}} + ......$ is