Recent questions tagged ch9

Sum of squares of first n natural numbers exceeds their sum by 330, then n =

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

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If arithmetic, geometric and harmonic means between two positive real numbers is A, G and H respectively, then, which of the following is true?

asked Jan 17, 2014 by yamini.v

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The sum of n terms of the infinite series $1.3^2$+$2.5^2$+$3.7^2$+-------$\infty$ is given by

asked Jan 17, 2014 by yamini.v

1 answer

Ram shares a photo link on facebook with 3 persons and requests each of them to share with 3 more persons and continue the chain. For every share of the photo link if Rs 100 is donated to the Adyar Cancer society, what is the total amount collected by the society till the $b^{th}$ set of shares.

asked Jan 6, 2014 by yamini.v

1 answer

Given $4$ numbers, the first $3$ numbers are in $AP$ and the last $3$ numbers are in $GP$. The $1^{st}$ and $3^{rd}$ terms add upto $2$ and the $2^{nd}$ and $4^{th}$ terms add to $17$. Find the numbers.

asked Jan 6, 2014 by yamini.v

1 answer

If $a, b, c$ are in $AP, a, x, b$ and $b, y, c$ in $GP$, what is the progression type for $x^2,b^2,y^2$?

asked Jan 6, 2014 by yamini.v

1 answer

Find the sum of the series upto 20 term 1+(1+2)+(1+2+3)+--------

asked Jan 6, 2014 by yamini.v

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Find the sum of 8 terms of the series whose $n^{th}$ term is given by $n^2+2^n$

asked Jan 6, 2014 by yamini.v

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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

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

asked Jan 6, 2014 by yamini.v

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Two cars start at a point A at the same time. The first car goes with a uniform speed of 100 Km/hr and the second car starts at 80 for the first hour and increases the speed by 10 km/hr every hour. After how much time does the second car overtake the first car, assuming these are no stops in between.

asked Jan 6, 2014 by yamini.v

1 answer

Given an AP, if the sum of first 5 terms is 175 and the sum of first 10 terms is 700, find the sum of the first 7 terms.

asked Jan 6, 2014 by yamini.v

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Find the sum of all natural numbers between 45 and 300 that are exactly divisible by 7.

asked Jan 5, 2014 by yamini.v

1 answer

How many 3 digit numbers leave a remainder of 2 when divided by 7 ?

asked Jan 5, 2014 by yamini.v

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How many 3 digit numbers are divisible by 5?

asked Jan 5, 2014 by yamini.v

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How many two digit numbers are divisible by 4?

asked Jan 5, 2014 by yamini.v

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Which term of the sequence 130,126,122----- is the first negative term.

asked Jan 5, 2014 by yamini.v

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Find the value of $n$ such that the $n^{th}$ term of the sequences 27,24,21------- and 2,4,6----- are equal.

asked Jan 5, 2014 by yamini.v

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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

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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

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

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 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

Insert k arithmetic means between 1 and $k^2$ . what is the resulting series?

asked Jan 3, 2014 by yamini.v

1 answer

In the series 2,10,50 ------ the number of terms required to make a sum of 7812 is

asked Jan 3, 2014 by yamini.v

1 answer

Which term of the series $\frac{16}{9}$, $\frac{4}{3}$, $1$, $\frac{3}{4}$------is $\frac{243}{1024}$

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

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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

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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

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