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Recent questions tagged arithmetic-progression

If $a, b, c$ are in $GP$ and equations $ax^2+2bx+c=0$ and $dx^2+2ex+f=0$ have a common root, then $\large\frac{d}{a}$, $\large\frac{e}{b}$, $\large\frac{f}{c}$ are in

asked Jan 24, 2014 by yamini.v

1 answer

If sides of $\bigtriangleup ABC \;(a, b, c)$ are in AP, $cot\;{\large\frac{c}{2}}$ equals

asked Jan 23, 2014 by yamini.v

1 answer

If 1 , 3 , 8 are first three terms of an arithmetic - geometric progression (with +ve common difference ) , the sum of next three terms is :

asked Jan 23, 2014 by yamini.v

1 answer

For an AP with first term $a$ and common difference $d$, if $\large\frac{S_{nx}}{S_{x}}\:(S_{r}$ denotes sum upto $r$ term$)$ is independent of $x$ then,

asked Jan 23, 2014 by yamini.v

1 answer

If the sum of first n terms of an AP is half the sum of next n terms, then $\large\frac{S_{4n}}{S_{n}}$ equals

asked Jan 23, 2014 by yamini.v

1 answer

$a,x,y,z,b$ are in AP such that $x+y+z=15$ and $a$, $\alpha$, $\beta$, $y$, $b$ are in HP such that $\large\frac{1}{\alpha}+\large\frac{1}{\beta}+\large\frac{1}{\gamma}=\large\frac{5}{3}$. Find $a$, $(a > b)$.

asked Jan 23, 2014 by yamini.v

1 answer

If in an AP , $\;a_{n}\;$ denotes the $\;n^{th}$ term and $\;a_{p}=\frac{1}{q}$ and $\;a_{q}=\frac{1}{p}$ the root of the equation

asked Jan 22, 2014 by yamini.v

1 answer

Ratio of sum of n terms of two AP's is $\;(5n+3)\;:\;(3n+4)\;,$ then the ratio of $\;15^{th}\;$ term will be :

asked Jan 22, 2014 by yamini.v

1 answer

Sum of first $n$ terms of an $AP$ is $kn^2$, sum of their squares will be

asked Jan 22, 2014 by yamini.v

1 answer

Three positive numbers $p, q, r$ are in HP, $(r > p)$, then $log (p+r) + log (p-2q+r)$ is equal to

asked Jan 22, 2014 by yamini.v

1 answer

If $1$, $log_{b}^{a}$, $log_{c}^{b}$, $-15\;log_{a}^{c}$ are in AP, then

asked Jan 21, 2014 by yamini.v

1 answer

For an AP with first term a and sum of first m terms 0, the sum of next n terms will be

asked Jan 21, 2014 by yamini.v

1 answer

If p, q, r are in increasing AP, then common difference will be

asked Jan 21, 2014 by yamini.v

1 answer

If the numbers $a, b, c, d, e$ are in AP, the value of $a-4b+6c-4d+e$ is

asked Jan 21, 2014 by yamini.v

1 answer

If 20 is divided into four parts which are in AP such that ratio of product of first and fourth part and product of second and third part is 2:3, then the largest part is

asked Jan 21, 2014 by yamini.v

1 answer

Let $a_{1}+a_{2}+a_{3}+\;......$ be terms of an AP. If $\;\frac{S_{p}}{S_{q}}=\frac{p^2}{q^2}\;then\;\frac{a_{7}}{a_{14}} =$

asked Jan 21, 2014 by yamini.v

1 answer

If first and last term of an AP are $a$ & $l$ and sum of all terms is $s$, then common difference is

asked Jan 21, 2014 by yamini.v

1 answer

If in an AP $m$ times $\;m^{th}\;$ term equals $n$ times $\;n^{th}$ term , then $\;(m+n)^{th}$ term will be

asked Jan 21, 2014 by yamini.v

1 answer

If $f\;(x)$ is a two degree polynomial such that $f\;(3)=f\;(-3)$ and $a, b, c$ are in $AP$, then $f'(a)$, $f'(b)$ and $f'(c)$ are in

asked Jan 20, 2014 by yamini.v

1 answer

If in an AP , $\;m^{th}$ term is $\;\frac{1}{n}$ and $\;n^{th}\;term\;is\frac{1}{m}$ , then $\;mn^{th}$ term is :

asked Jan 20, 2014 by yamini.v

1 answer

In an AP, the $\; 4^{th}\;$ term is $36$. The$\; 21^{st}\;$ term is $108$ more than the $\;9^{th}\;$ term. What is the first term a and the common difference $d$?

asked Jan 19, 2014 by yamini.v

1 answer

The sum of $n$ terms of an arithmetic progression is $\;n\;(2n-1)$. What is the $m^{th}$ term of the series?

asked Jan 18, 2014 by yamini.v

1 answer

The number of terms in the AP a, b,....c is

asked Jan 17, 2014 by yamini.v

1 answer

A train travels from A to B at speed of x km/hour and from B to A at speed of y km/hour. The average speed of the train from A to B and back to A, would be calculated by the

asked Jan 17, 2014 by yamini.v

1 answer

If a, b and c are in H.P, then a/(b+c), b/(c+a), c/(a+b) are in

asked Jan 17, 2014 by yamini.v

1 answer

Find three numbers in AP whose sum is 33 and the sum of whose squares is 395

asked Jan 6, 2014 by yamini.v

1 answer

The $n^{th}$ term of a progression is $2n+3$. What is the type of progression and what is its $15^{th}$ term.

asked Jan 4, 2014 by yamini.v

1 answer

Find the value of n such that $\frac{5^{(n+1)}+17^{(n+1)}}{5^n+17^n}$ is the AM of 5 and 17

asked Jan 3, 2014 by yamini.v

1 answer

If n arithmetic means are interested between $0$ and $32$ such that the $2^{nd}$ mean is one-seventh of the $(n-1)^{th}$ mean, find the value of $n$.

asked Jan 3, 2014 by yamini.v

1 answer

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

asked Jan 3, 2014 by yamini.v

1 answer

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

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

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

If both the roots of the quadratic equation $(b-c)x^2+(c-a)x+(a-b)=0$ are equal. Then $a, b, c$ are in

asked Dec 31, 2013 by yamini.v

1 answer

If $a^2,b^2,c^2\;$ are in AP ,$\frac{1}{b+c},\frac{1}{a+c},\frac{1}{b+a}\;$ are in

asked Dec 31, 2013 by yamini.v

1 answer

In an AP, the sum of n terms is $n^2+1$. Find the 16th term.

asked Dec 30, 2013 by yamini.v

1 answer

If the 7th term of an AP is 23 and the 12th term is 38, find the first term 'a' and common difference 'd'.

asked Dec 30, 2013 by yamini.v

1 answer

What is the sum of all odd natural numbers till 200 ?

asked Nov 19, 2013 by harini.tutor

1 answer

Find the 10th term of the AP -3, -1, 1, 3, ....

asked Nov 19, 2013 by harini.tutor

1 answer

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