Recent questions tagged sequences-and-series

The angles of a quadrilateral are in AP whose common difference is $10^0$. Find the angles.

asked Jan 3, 2014 by yamini.v

1 answer

Divide 44 into 4 parts following an AP such that the ratio of the product of extremes to the product of the means is 5:14.

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

Find the sum of the series 1.4 + 2.5 + 3.6----- upto 20 terms.

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of the series $3^2$ + $5^2$ + $7^2$ +-----upto 10 terms

asked Jan 3, 2014 by yamini.v

1 answer

If $\large\frac{1}{x+y}$, $\large\frac{1}{xy}$, $\large\frac{1}{y+z}$ are in AP, $x, y, z$ are in

asked Jan 3, 2014 by yamini.v

1 answer

The sum of three numbers in GP is 26. If 2,2,-6 are added to them respectively they form as.n AP . Find the number

asked Jan 3, 2014 by yamini.v

1 answer

The product of $3$ numbers in $GP$ is $1000$. If $6$ and $7$ are added to the $2^{nd}$ and $3^{rd}$ terms respectively, the terms form an $AP.$ Find the $GP$.

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of n terms of the series 2.4 + 5.6 + 8.8 + 11.10 +---------

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of n terms of the series 1.5+3.8+5.11+---------------n

asked Jan 3, 2014 by yamini.v

1 answer

Find the sum of n terms of the series 2.4+5.7+8.10+------------

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

Find the sum of first 25 terms of the sequence 5,5.5,5.55,5.555-----------

asked Jan 2, 2014 by yamini.v

0 answers

How many terms of the series $6, 3, \large\frac{3}{2}$------ will make a sum of $\large\frac{765}{64}$.

asked Jan 2, 2014 by yamini.v

1 answer

How many terms of the series $\sqrt2$, 2, $2\sqrt2$,------- will make a sum of $62+31\sqrt2$ ?

asked Jan 2, 2014 by yamini.v

1 answer

If the sum of n terms of the AP 55, 57, 59------ is equal to the sum of first 2n terms of the AP 1, 4, 710--------then n equals

asked Jan 2, 2014 by yamini.v

1 answer

What is the harmonic mean of the two roots of the following equation $(5+\sqrt2)x^2-(4+\sqrt5)x+8+2\sqrt5=0$

asked Jan 2, 2014 by yamini.v

1 answer

In an AP of 10 numbers and a HP of 10 numbers, the first term and last term are the same and equal to 2 and 3. Find the value of product of fourth term of the AP and the seventh term of the HP.

asked Jan 2, 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 the p and q are roots of the equation $x^2-7x+A=0\;\xi\;r\;\xi\;s$ are roots of equation $x^2-19x+B=0,$ find the values of $A\;\xi\;B$ if p,q,r,s are in AP.

asked Jan 2, 2014 by yamini.v

1 answer

The sum of integers from 1 to 200 that are divisible by 2 or 5 is

asked Jan 2, 2014 by yamini.v

1 answer

If $a, b, c$ are in $AP$ and $a^2,b^2,c^2$ are in $HP$, how are $a, b$ and $\large\frac{-c}{2}$ related?

asked Jan 2, 2014 by yamini.v

1 answer

If the $ i^{th},j^{th}\; and\; k^{th} $ term of an AP and a GP are equal and are $x,y,z$ find the value of $x^{(y-z)}\;.y^{(z-x)}\;.z^{(x-y)}$

asked Jan 2, 2014 by yamini.v

1 answer

If a$\xi\;b$ are two positive integers,x is their AM and $y\;\xi\;z$ are two GMs then calculate the value of $\frac{y^3+z^3}{xyz}$

asked Jan 2, 2014 by yamini.v

1 answer

If the harmonic mean H and geometric mean G of two positive numbers a and b are in ratio 3:5, then a and b are in the ratio

asked Jan 2, 2014 by yamini.v

1 answer

In a triangle $\bigtriangleup ABC$,a,b,c are its sides ,A,B $\xi\;$ C are its angles, if $\cot A,\cot B\;\xi\;\cot C$ are in AP , the a,b, and c are in which progression?

asked Jan 2, 2014 by yamini.v

1 answer

An infinite GP has its first term as x and sum is 6 , then which of the following is true?

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

Given that a,b$\xi$ c are in AP,which of the following is true?

asked Jan 2, 2014 by yamini.v

1 answer

Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.

asked Jan 1, 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

Find n where 1536 is the nth term of the series 3,6,12---------------

asked Jan 1, 2014 by yamini.v

1 answer