The sum of an infinite geometric series is $3$. A series, which is formed by squares of its terms, have the sum also $3$. First series will be

  • A

    $\frac{3}{2},\frac{3}{4},\frac{3}{8},\frac{3}{{16}},.....$

  • B

    $\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{{16}},.....$

  • C

    $\frac{1}{3},\frac{1}{9},\frac{1}{{27}},\frac{1}{{81}},.....$

  • D

    $1, - \frac{1}{3},\,\frac{1}{{{3^2}}}, - \frac{1}{{{3^3}}},.....$

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