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#501 2016-04-27 18:33:12
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
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#502 2016-04-28 00:07:44
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#226 is correct. Neat work, Relentless!
SP#227. The first and last terms of an Arithmetic Progression are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?
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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#503 2016-04-28 03:09:08
- 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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#504 2016-04-28 18:20:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solutions (two parts) in SP#227 are correct. Brilliant, bobbym!
SP#228. Find the sum of first 22 terms of an Arithmetic Progression in which d = 7 and 22nd term is 149.
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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#505 2016-04-28 18:26:48
- 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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#506 2016-04-28 22:43:38
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#228 is perfect. Marvelous, bobbym!
SP#229. Find the sum of first 51 terms of an Arithmetic Progression whose second and third terms are 14 and 18 respectively.
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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#507 2016-04-30 00:05:13
- 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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#508 2016-04-30 01:08:27
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#229 is correct. Excellent, bobbym!
SP#230. Find the sum of the first 40 positive integers divisible by 6.
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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#509 2016-05-07 22:03:08
- 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
#510 2016-05-08 17:27:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#230 is correct. Neat work, bobbym!
SP#231. Find the sum of the first 15 multiples of 8.
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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#511 2016-05-09 01:45:53
- 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
#512 2016-05-09 17:38:23
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#231 is correct. Neat work, bobbym!
SP#232. Three consecutive terms of an Arithmetic Progression are 3x, x + 2, and 8, then find the value of x. Also, find its 4th 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.
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#513 2016-05-09 18:24:01
- 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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#514 2016-05-14 23:39:15
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#232 is correct. Well done, bobbym!
The second part :
SP#233. The 8th term of an Arithmetic Progression is 37 and and its 12th term is 57. Find the Arithmetic Progression (first four 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.
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#515 2016-05-15 03:39:25
- 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
#516 2016-05-15 17:14:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The Solutions in SP#233 is/are correct. Well done, bobbym!
SP#234. The sum of n terms of an Arithmetic Progression is
. Find the first term and the common difference.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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#517 2016-05-15 18:07:37
- 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
#518 2016-05-16 00:03:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solutions SP#234 are correct. Neat work, bobbym!
SP#235. If the sum of the first n terms of an Arithmetic Progression is given by
, find the nth term of the Arithmetic 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.
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#519 2016-05-16 03:17:37
- 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
#520 2016-05-16 18:16:49
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#235 is correct. Neat work!
SP#236. If the angles of a quadrilateral be in Arithmetic Progression such that the common difference is 20 degrees, then find the angles.
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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#521 2016-05-16 18:28:52
- 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
#522 2016-05-17 19:27:11
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#236 is perfect. Neat work, bobbym!
SP#237. Find the sum of the first 21 terms of an Arithmetic Progression whose 2nd term is 8 and 4th term is 14.
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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#523 2016-05-17 20:35:55
- 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
#524 2016-05-18 16:48:25
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi;
The solution SP#237 is correct. Excellent, bobbym!
SP#238. The nth term of an Arithmetic Progression is 7 - 4n. Find its common difference.
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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#525 2016-05-18 17:28:23
- 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