The sum of first two terms of a $G.P.$ is $1$ and every term of this series is twice of its previous term, then the first term will be
The sum of first two terms of a $G.P.$ is $1$ and every term of this series is twice of its previous term, then the first term will be
- A
$1/4$
- B
$1/3$
- C
$2/3$
- D
$3/4$
Similar Questions
If $y = x - {x^2} + {x^3} - {x^4} + ......\infty $, then value of $x$ will be
If $y = x - {x^2} + {x^3} - {x^4} + ......\infty $, then value of $x$ will be
The product $(32)(32)^{1/6}(32)^{1/36} ...... to\,\, \infty $ is
The product $(32)(32)^{1/6}(32)^{1/36} ...... to\,\, \infty $ is
The sum of first three terms of a $G.P.$ is $\frac{39}{10}$ and their product is $1 .$ Find the common ratio and the terms.
The sum of first three terms of a $G.P.$ is $\frac{39}{10}$ and their product is $1 .$ Find the common ratio and the terms.
If $x > 1,\;y > 1,z > 1$ are in $G.P.$, then $\frac{1}{{1 + {\rm{In}}\,x}},\;\frac{1}{{1 + {\rm{In}}\,y}},$ $\;\frac{1}{{1 + {\rm{In}}\,z}}$ are in
If $x > 1,\;y > 1,z > 1$ are in $G.P.$, then $\frac{1}{{1 + {\rm{In}}\,x}},\;\frac{1}{{1 + {\rm{In}}\,y}},$ $\;\frac{1}{{1 + {\rm{In}}\,z}}$ are in
- [IIT 1998]
Find the sum to indicated number of terms in each of the geometric progressions in $\left.x^{3}, x^{5}, x^{7}, \ldots n \text { terms (if } x \neq\pm 1\right)$
Find the sum to indicated number of terms in each of the geometric progressions in $\left.x^{3}, x^{5}, x^{7}, \ldots n \text { terms (if } x \neq\pm 1\right)$