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#701 2017-03-17 18:52:13
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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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#702 2017-03-17 21:57:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
.
SP#326. If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term 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.
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#703 2017-03-18 11:30:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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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#704 2017-03-18 14:16:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#326 is correct. Good work, bobbym!
SP#327. If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are __________.
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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#705 2017-03-18 15:33:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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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#706 2017-03-18 18:11:58
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution set in SP#327 is correct. Good work, bobbym!
SP#328. If the first term of an A.P. is 2 and the common difference is 4, then the sum of its 40 terms 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.
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#707 2017-03-18 21:45:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#708 2017-03-19 00:45:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#328 is correct. Good work, bobbym!
SP #329. If 1/(x + 2), 1/(x + 3), 1/(x + 5) are in A.P., then x = ?
SP #330. The sum of n terms of two A.P.s are in the ratio 5n + 9 : 9n + 6. Then the ratio of their 18th term 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.
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#709 2017-03-19 05:23:36
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#710 2017-03-19 14:47:08
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#329 is correct. Good work, bobbym!
SP #331. If 18th and 11th terms of an A.P. are in the ratio 3:2, then its 21st and 5th terms are in the ratio _______.
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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#711 2017-03-19 17:15:06
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#712 2017-03-19 17:59:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
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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#713 2017-03-19 19:26:53
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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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#714 2017-03-19 19:57:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP #331 is correct. Neat work, bobbym!
SP #332. If 18, a, b, -3 are in A.P., then a + b = ________.
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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#715 2017-03-20 11:24:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#716 2017-03-20 15:05:12
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP #332 is correct. Good work, bobbym!
SP #333. The common difference of the A.P. 1/2q, (1 - 2q)/2q, (1 - 4q)/2q, .... 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.
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#717 2017-03-20 19:04:53
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#718 2017-03-20 19:52:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
SP#334. The common difference of the A.P. 1/3, (1 - 3b)/3, (1 - 6b)/3, ... 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.
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#719 2017-03-20 23:08:58
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#720 2017-03-20 23:38:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP #334 is correct. Good work, bobbym!
SP #335. If the first, second and last term of an A.P. are a, b, and 2a respectively, its sum 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.
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#721 2017-03-21 20:44:53
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#722 2017-03-21 21:13:49
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP #335 is correct. Splendid, bobbym!
SP #336. The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 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.
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#723 2017-03-21 21:30:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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
#724 2017-03-21 23:01:22
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP #336 is correct. Good work, bobbym!
SP #337. The sum of n terms of the series
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.
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#725 2017-03-21 23:36:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
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