Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The reply to 2494 is correct. Good work!

#2495. Find the 5[sup]th[/sup] term of the Geometric Progression whose 3[sup]td[/sup] term is 3/8 and 7[sup]th[/sup] term is 3/128.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2495 is perfect. Good work!

#2496. The sum to infinite terms of a Geometric Progression is 2 and the sum of their squares is

. Find the series.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The Geometric Progression is 1, 1/2, 1/4, .... I am not sure your solution is the same as mine.

#2497. Simplify:

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

Yes it is the same except mine is the series and yours is the sequence. You asked to find the series rather than the sequence.
A little confusing. No problem though. I will work on your next problem.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2497 is correct. Brilliant!

#2498. Find the radius of the cylinder if the area of its curved surface is 352 sq.cm. and its height 16 cm.

#2499. Two cones have their heights in the ratio 5:3 and the radii of their bases in the ratio 2:1, find the ratio of their volumes.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solutions to 2498 and 2499 are perfect. Excellent!

#2500. How many liters of water would a hemispherical tank hold, whose diameter is 4.2 meters?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2500 is perfect. Excellent!

#2501. Given: f(x) = 3x - 2, g(x) = kx + 3, find k so that fog = gof.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2501 is perfect. Well done!

#2502. If one root of the equation x[sup]2[/sup] - 3x + q = 0 is twice the other, find the value of q.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2502 is perfect. Good work!

#2503. Find the Least Common Multiple of the following:
x[sup]2[/sup] -10x + 24; x[sup]2[/sup] - 11x + 30.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2503 is perfect. Well done!

#2504. Ebi deposits $100 every month in a bank paying 8% per annum on a Simple Interest simple interest on Recurring Deposit. How much will she get at the end of 60 months?

#2505. If the remainder, when a - 2x + 5x[sup]2[/sup] divided by (x - 2) is 7, find a.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The reply to 2504 is (I get) $7220. The solution to 2505 is perfect. Well done!

#2506. Which term of the Arithmetic Progression

is the first negative term?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

How did you get 7220 for #2504 ?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2506 is perfect. Good work!

I shall give the calculation for 2504.
A = 100 x 60 + 100 x 305/2 x 8/100 = 6000 + 1220 = 7220

#2507. Find the middle term of the Arithmetic Progression 3, 5, 7, ... 71.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2507 is perfect. Well done!

#2508. 8 metallic spheres each of radius 2 cm are melted and cast into a single sphere. Calculate the radius of the new sphere.

#2509. Timothy made a fixed deposit with a bank for 3 years paying 11% per annum. He takes quarterly interest, find the interest he gets on $1,000 deposit?

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi ganesh;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,395

Re: 10 second questions

Hi bobbym,

The solution to 2508 is perfect. Good work!

The solution to 2509 is {1000 x 1 x 11}/{4 x 100} = 27.50

#2510. Find the sum of the Geometric Progression

8 terms.

#2511. The surface area of a sphere is 1386 sq.cm. Find its volume.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.