The G.M. of the numbers $3,\,{3^2},\,{3^3},\,......,\,{3^n}$ is
${3^{2/n}}$
${3^{(n - 1)/2}}$
${3^{n/2}}$
${3^{(n + 1)/2}}$
If $2(y - a)$ is the $H.M.$ between $y - x$ and $y - z$, then $x - a,\;y - a,\;z - a$ are in
What will $Rs.$ $500$ amounts to in $10$ years after its deposit in a bank which pays annual interest rate of $10 \%$ compounded annually?
How many terms of $G.P.$ $3,3^{2}, 3^{3}$... are needed to give the sum $120 ?$
If $y = x + {x^2} + {x^3} + .......\,\infty ,\,{\rm{then}}\,\,x = $
In a geometric progression, if the ratio of the sum of first $5$ terms to the sum of their reciprocals is $49$, and the sum of the first and the third term is $35$ . Then the first term of this geometric progression is