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#276 2015-11-22 21:07:03
- 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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#277 2015-11-23 01:03:42
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
SP # 128. Find the sum of the first 30 terms of an Arithmetic Progression whose 'n'th 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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#278 2015-11-23 05:13:58
- 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
#279 2015-11-23 16:22:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
SP # 129. In an Arithmetic series 60, 56, 52, ... starting from the first term, how many terms are needed so that their sum is 368? (Give both solutions, if required)
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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#280 2015-11-23 22:51:36
- 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
#281 2015-11-23 23:20:56
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
In the problem SP # 128, both the solutions seem correct! Good work!
Moving on to SP # 129!
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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#282 2015-11-24 19:05:58
- 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
#283 2015-11-24 20:29:36
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solutions in SP # 129 are correct! Neat work!
SP # 130. Find the sum of first 20 terms of the Arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd 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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#284 2015-11-25 10:41:18
- 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
#285 2015-11-25 13:54:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 130 is correct! Neat work!
Find the sum of the following series:
SP # 131.
SP # 132.
+ ... 25 terms.SP # 133.
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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#286 2015-11-25 19:24:09
- 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
#287 2015-11-25 21:16:01
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #131 and SP #133 are correct! Good work!
SP # 134. Find the value of 'k', if
.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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#288 2015-11-26 07:14:07
- 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
#289 2015-11-26 12:16:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #134 is correct! Good work!
SP # 135.Suppose five people are ill during the first week of an epidemic, and each sick person spreads the contagious disease to four other people by the end of the second week and so on. By the end of fifteenth week, how many people will be affected by the epidemic?
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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#290 2015-11-27 09:38:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
Hi;
I misunderstood SP # 135, you are correct.
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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#291 2015-11-27 11:19:43
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
SP #136. Find the 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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#292 2015-11-28 20:23:42
- 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
#293 2015-11-28 22:06:48
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 136 (two parts) are correct! Excellent!
SP # Find the total volume of 15 cubes whose edges are 16 cm, 17 cm, 18 cm, ......., and 30 cm 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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#294 2015-11-30 20:12:36
- 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
#295 2015-12-05 08:14:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 137 is perfect! Brilliant!
SP # 138. The third term of a Geometric Progression is 2, then find the product of first 5 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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#296 2015-12-05 20:31:31
- 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
#297 2015-12-06 00:19:36
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
SP # 139. If the product of the first four consecutive terms of a Geometric Progression is 256 and if the common ratio is 4 and the first term is positive, then find its 3rd 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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#298 2015-12-06 18:52:22
- 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
#299 2015-12-06 22:17:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 139 is correct! Good work!
SP # 140. If the 'n'th term of an Arithmetic Progression is
, then find the sum of first 'n' 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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#300 2015-12-09 04:47:03
- 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