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#326 2015-12-14 00:56:25
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 151 is correct! Neat work!
SP #152. The 9th term of an Arithmetic Progression is equal to 6 times its second term. If its 5th term is 22, find the 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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#327 2015-12-14 14:30:42
- 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.
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#328 2015-12-14 15:41:40
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #152 is correct! Good work!
SP #153. Which term of the Arithmetic Progression 3, 10, 17, ... will be 84 more than its 13th 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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#329 2015-12-15 06:04:26
- 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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#330 2015-12-15 13:59:00
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #153 is correct! Neat work!
SP #154. For what value of n, the 'n'th terms of the Arithmetic Progressions 63, 65, 67, ... and 3, 10, 17, ... are equal?
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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#331 2015-12-15 19:33:23
- 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.
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#332 2015-12-15 20:17:54
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #154 is correct! Good work!
SP # 155. Which term of the Arithmetic Progression 8, 14, 20, 26, .... will be 72 more than its 41st 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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#333 2015-12-17 10:21:34
- 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
#334 2015-12-17 14:23:22
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP # 155 is correct! Good work!
SP #156. The sum of the fifth and ninth terms of an Arithmetic Progression is 30. If its 25th term is three times its 8th term, 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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#335 2015-12-18 03:59:49
- 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
#336 2015-12-18 13:53:11
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution in SP #156 is perfect! Good work!
SP #157. The seventh term of an Arithmetic Progression is 32 and its 13th term is 62. 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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#337 2015-12-18 15:19:01
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
Re: Series and Progressions
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
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#338 2015-12-18 16:35:34
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi Monox D. I-Fly,
The solution SP # 157 (2,7,12,17)... is correct! Good work!
SP #158. The sum of fourth and eighth terms of an Arithmetic Progression is 24 and the sum of 6th and 10th terms is 44. Find the first five terms 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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#339 2015-12-18 16:48:07
- 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
#340 2015-12-18 18:05:30
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
The solution SP #158 is perfect! Excellent!
SP #159. The first and the term 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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#341 2015-12-18 20:42:17
- 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
#342 2015-12-19 00:29:17
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi bobbym,
SP #160. Let there be an Arithmetic Progression with first 'a', common difference 'd'. Let
be the 'n'th term and the sum of first 'n' terms, find'n' and , it a = 2, d = 8, and .
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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#343 2015-12-19 02:50:30
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
Re: Series and Progressions
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
Offline
#344 2015-12-19 07:18:08
- 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
#345 2015-12-19 15:55:48
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi Monox D. I-Fly and bobbym,
The solution SP #160 : 5 and 34 respectively.
Good work, Monox D. I-Fly and bobbym (50% and 100% respectively)!
SP #161. The sum of 'm' terms of an Arithmetic Progression is
. If its 'n'th term is 107, find the value of 'n'. Also, find the 21st term of this 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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#346 2015-12-19 21:29:46
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
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#347 2015-12-19 23:26:01
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi Relentless,
The solution SP#161 (two parts) is correct! Neat work!
SP #162. The 'n'th term of an Arithmetic Progression is given by (-4n + 15). Find the sum of first 20 terms of this 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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#348 2015-12-19 23:43:37
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
Re: Series and Progressions
Hi Monox D. I-Fly and bobbym,
The solution SP #160 : 5 and 34 respectively.
Good work, Monox D. I-Fly and bobbym (50% and 100% respectively)!
Uh... Why do I always skip the other question? I just didn't read through.
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
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#349 2015-12-20 21:20:55
- 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
#350 2015-12-20 22:18:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,413
Re: Series and Progressions
Hi Monox D. I-Fly,
SP #163. Find the 17th term of the Arithmetic Progression 4, 9, 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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