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#2501 2014-04-23 19:15:33

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

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#2502 2014-04-24 14:37:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1745 is perfect. Good work!

#1746. If the product of three consecutive terms in Geometric Progression is 216 and the sum of their products in pairs is 156, find them.


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.

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#2503 2014-04-24 22:52:47

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2504 2014-04-25 16:26:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1746 is correct. Fantastic!

#1747. Find the first three consecutive terms in Geometric Progression whose sum is 7 and the sum of their reciprocals is

.


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.

Offline

#2505 2014-04-25 20:00:02

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2506 2014-04-26 17:01:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1747 is correct. Excellent!

#1748. The sum of the first three terms of a Geometric Progression is 13 and the sum of their squares is 91. Determine the Geometric Progression.


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.

Offline

#2507 2014-04-26 20:42:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2508 2014-04-27 17:48:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1748 is perfect. Stupendous!

#1749. Find the sum of the first 75 positive integers.


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.

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#2509 2014-04-27 19:50:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2510 2014-04-28 00:05:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1749 is correct. Neat work!

#1750. Find the sum of the first 125 natural numbers.


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.

Offline

#2511 2014-04-28 02:02:49

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2512 2014-04-28 15:25:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1750 is correct. Neat job!

#1751. Find the sum of the first 30 terms of an Arithmetic Progression  whose n[sup]th[/sup] term is 3 + 2n.


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.

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#2513 2014-04-28 21:39:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2514 2014-04-29 00:26:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

#1752. Find the sum of the arithmetic series 38 + 35 + 32 + ........ + 2.


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.

Offline

#2515 2014-04-29 01:44:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi ganesh;

Yes, I used the zeroth term. My mistake.


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.

Offline

#2516 2014-04-29 02:23:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1752 is correct. Good work!

#1753. Find the sum of the arithmetic series

25 terms.


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.

Offline

#2517 2014-04-29 02:25:42

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi;

Do you want it to 25 terms or 25 terms more?


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.

Offline

#2518 2014-04-29 02:43:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The problem requires 25 terms.


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.

Offline

#2519 2014-04-29 02:49:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2520 2014-04-29 03:52:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

The solution #1753 is correct. Remarkable!

#1754. Find the S[sub]n[/sub] for the series : a = 5, n = 30, l = 121.


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.

Offline

#2521 2014-04-29 04:47:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

#2522 2014-04-29 05:22:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,


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.

Offline

#2523 2014-04-29 08:00:04

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

Hi ganesh;

Thanks for the additional information.


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.

Offline

#2524 2014-04-29 17:17:26

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,955

Re: Oral puzzles

Hi bobbym,

#1755. Find the S[sub]n[/sub] for the following arithmetic series.
a (first term) = 50
n (number of terms) = 25
d (Common difference) = -4.


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.

Offline

#2525 2014-04-29 20:56:02

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Oral puzzles

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.

Offline

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