The sum of an infinite G.P. series is 3. A series which is formed by squares of its terms…
Mathematics · JEE Advanced · NTA Exams — Progression 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
- \(\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{6} \ldots\)
- \(\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{6}, \ldots\)
- \(\frac{1}{3}, \frac{1}{9}, \frac{1}{2}, \frac{1}{3}, \ldots\)
- \(1,-\frac{1}{3}, \frac{1}{3^{2}},-\frac{1}{3^{3}}, \ldots\)
Answer
(A) 3 2 , 3 4 , 3 8 , 3 6
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