Recent questions tagged geometric-progression

$a^x=b^y=c^z=d^t$ and $a, b, c, d$ are in GP, then $x, y, z, t$ are in

asked Jan 24, 2014 by yamini.v

1 answer

The sum of three terms of a strictly increasing GP is $\alpha S$ and sum of their squares is $S^{2}$. $\alpha^{2}$ lies in

asked Jan 23, 2014 by yamini.v

1 answer

If x , y , z are in GP then , $\;\large\frac{1}{x^2-y^2}+\frac{1}{y^2}\;$ equals

asked Jan 22, 2014 by yamini.v

1 answer

If $\;a_{1},a_{2},a_{3}\;(a_{1}\;\geq\;0)$ are in GP with common ratio r . the value of r for which inequality $\;a_{3}\;\geq\;4a_{2}-3a_{1}$ holds is given by ,

asked Jan 22, 2014 by yamini.v

1 answer

If the numbers $\;1,x^2,6-x^2\;$ are in GP , then value of $x$ is :

asked Jan 21, 2014 by yamini.v

1 answer

If $l,m,n$ are $\;x^{th}\;,y^{th}\;and\;z^{th}$ term of a GP then , $\begin{vmatrix}\log l& x & 1\\\log m &y &1\\\log n &z &1\end{vmatrix}=$

asked Jan 21, 2014 by yamini.v

1 answer

If x, y, z > 1 are in GP, then $\frac{1}{1+lnx}$, $\frac{1}{lny}$, $\frac{1}{lnz}$ are in

asked Jan 20, 2014 by yamini.v

1 answer

If the $\;10^{th}\;$ term of a $GP$ is $9$ and the $\;4^{th}\;$ term is $4$, then the $\;7^{th} \;$term is

asked Jan 19, 2014 by yamini.v

1 answer

For what value of n , the $n^{th}$ term of the GPs 2560,1280,640 ----- and 10,20,40 ------ are equal.

asked Jan 6, 2014 by yamini.v

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The first term of a $GP$ is $4$ and the sum of its $3^{rd}$ and $5^{th}$ terms is $360$. Find the common ratio.

asked Jan 6, 2014 by yamini.v

1 answer

For what value of n is $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ the GM of 4 and 16.

asked Jan 3, 2014 by yamini.v

1 answer

Given that $a\;\xi\;b$ are not equal , find the value of n so that $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the GM of $a\;\xi\;b$

asked Jan 3, 2014 by yamini.v

1 answer

If the $3^{rd}$ term of a GP is 18 and the $10^{th}$ term is 39366 , find the $7^{th}$ term of the GP.

asked Jan 3, 2014 by yamini.v

1 answer

If a, b, c, d are in GP, what is the progression of $a^n + b^n$, $b^n + c^n$, $c^n + d^n$.

asked Jan 3, 2014 by yamini.v

1 answer

If a, b, c are in GP, find the value of $a^2b^2c^2(\large\frac{1}{a^3}+\large\frac{1}{b^3}+\large\frac{1}{c^3})$

asked Jan 3, 2014 by yamini.v

1 answer

Find 3 Geometric means between $\large\frac{1}{3}$ and 432.

asked Jan 3, 2014 by yamini.v

1 answer

Insert two geometric means between 4 and 256 .

asked Jan 3, 2014 by yamini.v

1 answer

If $a, b, c$----$l$ is a GP, find the sum of the series.

asked Jan 3, 2014 by yamini.v

1 answer

The third term of a GP is 2. Calculate the product of the first 5 terms.

asked Jan 2, 2014 by yamini.v

1 answer

If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.

asked Jan 2, 2014 by yamini.v

1 answer

If the $4^{th}$ term of a GP is the square of its second term and the first term is -2. Find the $7^{th}$ term of the GP.

asked Jan 2, 2014 by yamini.v

1 answer

Find n such that is $\large\frac{512}{729}\;$is the nth term of the GP 18,-12,8,-----------------

asked Jan 1, 2014 by yamini.v

1 answer

What are next two terms of the GP $\sqrt{2},\;1/\sqrt{2},\;1/2\sqrt{2}$

asked Jan 1, 2014 by yamini.v

1 answer

The sum of terms of a series is $\frac{2^n-1}{3}$.What is the type of series AP or GP. What is the value of d or r (common difference of AP or common ratio of GP)

asked Dec 31, 2013 by yamini.v

1 answer

In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125/152. Find the common of the GP.

asked Dec 31, 2013 by yamini.v

1 answer

The product of 3 numbers in a GP is 64 and the sum of product of numbers taken in pairs is 56. Find the three numbers in GP.

asked Dec 31, 2013 by yamini.v

1 answer

In an AP, the sum of n terms is a function of n, $S_{n}=3n^2+2n.$ Find the rth term.

asked Dec 30, 2013 by yamini.v

1 answer

In a GP, the first term is $312\large\frac{1}{2}$, the common ratio is $\large\frac{1}{2}$. Find the sum of the series to $\infty$ terms.

asked Dec 30, 2013 by yamini.v

1 answer

Find the sum of the GP $ 1, 2, 4, 8, 16, 64 .... $ upto n terms

asked Nov 19, 2013 by harini.tutor

1 answer

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