The sum of the infinite series [JEE Main-2021 (February)] \( 1+\fra...

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The sum of the infinite series [JEE Main-2021 (February)]
\( 1+\frac{2}{3}+\frac{7}{3^{2}}+\frac{12}{3^{3}}+\frac{17}{3^{4}}+\frac{22}{3^{5}}+\ldots \cdots \) is equal to:
\( \mathrm{P} \)
W)
(a) \( \frac{9}{4} \)
(b) \( \frac{13}{4} \)
(c) \( \frac{15}{4} \)
(d) \( \frac{11}{4} \)
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