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Recent questions tagged ch9

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

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

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

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

Find the sum of series 4 + 44 + 444 + 4444 +------upto n terms.

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

If 4 positive numbers a, b, c and d are in HP, which of the following is true.

asked Dec 31, 2013 by yamini.v

1 answer

Given that $\frac{S_{1}}{S_{2}}=\frac{3n+8}{7n+5}$, $\frac{S_{1}}{S_{2}}$ is the ratio of sum of two APs to n terms, find the ratio of the 11<sup>th</sup> terms of the two APs.

asked Dec 31, 2013 by yamini.v

1 answer

Find the sum of the series -1 + 4 - 9 + 16 - 25 +-----+ 4008004.

asked Dec 31, 2013 by yamini.v

1 answer

Find the sum of the series $1^2$ - $2^2$ + $3^2$ - $4^2$ + $5^2$ - $6^2$.....$1000^2$.

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

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 series -9,-6,-3,----, find the number of terms n to get a sum $S_{n}$ = 66.

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

Find the sum of the series 1, $\frac {7}{5}$, $\frac {13}{25}$, $\frac {19}{25}$,----,$\infty$.

asked Dec 30, 2013 by yamini.v

1 answer

Given that four positive numbers are in HP, which of the following is true.

asked Dec 30, 2013 by yamini.v

1 answer

Among 5 numbers a, b, c, d and e the relationships are: a, b, c are in AP and b, c, d are in GP and c, d, e are in HP. Find b, c, d if a = 2 and e = 18.

asked Dec 30, 2013 by yamini.v

2 answers

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

Find the sum of even numbers between 50 and 100

asked Nov 19, 2013 by harini.tutor

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

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

For each of the exercises given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation $( iv)\quad x^2=2y^2 \log y : \qquad (x^2+y^2)\large\frac{dy}{dx}$$-xy=0$

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

Verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Jul 30, 2013 by sreemathi.v

1 answer

Newtons law of cooling states that the rate of change of the temperature T of an object is proportional to the difference between T and the (constant) temperature t of the surrounding medium. We can write it as \[\frac{dT}{dt}=-K(T-t),K>0\; constant.\]A cup of coffee is served at $ 185^\circ F$ in a room where the temperature is $65^\circ F .$ Two minutes later the temperature of the coffee has dropped to $155^\circ F.$(log 3/4=0.144, log3 = 1.09872). Find the time required for coffee to have $105^\circ F$ temperature.

asked Feb 4, 2013 by meena.p

0 answers

A curve passing through the point (1,1) has the property that the perpendicular distance of the origin from the normal at any point P of the curve is equal to the distance of p from the x-axis. Determine the equation of the curve.

asked Feb 4, 2013 by meena.p

0 answers

The surface area of a balloon being inflated, changes at a rate proportional to time t. If initially its radius is 1 unit and after 3 seconds it is 2 units, find the radius after time 't'.

asked Feb 4, 2013 by meena.p

1 answer

A wet porous substance in the open air losses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half of its moisture during the first hour, when will it have lost 95% moisture, weather conditions remaining the same.

asked Feb 4, 2013 by meena.p

0 answers

A population grows at the rate of 8% per year. How long does it take for the population to double?

asked Feb 4, 2013 by meena.p

0 answers

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