The sum of an infinite G.P. series is 3. A series which is formed by squares of its terms…

Mathematics · JEE Advanced · NTA ExamsProgression and Series

The sum of an infinite G.P. series is 3. A series which is formed by squares of its terms have the sum also 3. First series will be
  1. \(\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{6} \ldots\)
  2. \(\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{6}, \ldots\)
  3. \(\frac{1}{3}, \frac{1}{9}, \frac{1}{2}, \frac{1}{3}, \ldots\)
  4. \(1,-\frac{1}{3}, \frac{1}{3^{2}},-\frac{1}{3^{3}}, \ldots\)

Answer

(A) 3 2 , 3 4 , 3 8 , 3 6

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