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 [UPSEAT 1999]

\[\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},.....\]

\[\frac{3}{2},\frac{3}{4},\frac{3}{8},\frac{3}{16},.....\]

\[\frac{1}{3},\frac{1}{9},\frac{1}{27},\frac{1}{81},.....\]

\[1,-\frac{1}{3},\,\frac{1}{{{3}^{2}}},-\frac{1}{{{3}^{3}}},.....\]

The sum of an infinite geometric series is 3. A series, which is forme

1.	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 [UPSEAT 1999]
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.	\[1,-\frac{1}{3},\,\frac{1}{{{3}^{2}}},-\frac{1}{{{3}^{3}}},.....\]
Answer» B. \[\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},.....\]

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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 [UPSEAT 1999]

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