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#601 2016-06-13 18:48:59
- 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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#602 2016-06-14 01:17:30
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#273 is correct. Excellent, bobbym!
SP#274. If (2n + 3) is the nth term of an Arithmetic Progression, find
(i) first term
(ii) common difference and
(iii) the 15th 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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#603 2016-06-14 10:31:27
- 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
#604 2016-06-14 16:05:22
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#274 is correct (three parts). Neat work, bobbym!
SP#275. An Arithmetic Progression has 21 terms. The sum of the 10th, 11th, and 12th terms is 129 and the sum of the last 3 terms is 237. Find the Arithmetic Progression (first 4 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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#605 2016-06-14 19:04:17
- 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
#606 2016-06-15 17:33:34
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solutions in SP#275 are correct. Neat work, bobbym!
SP#276. The sum of n terms of an A.P. is
. Find its 12th 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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#607 2016-06-15 19:37:56
- 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
#608 2016-06-16 00:01:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#276 is correct. Brilliant, bobbym!
SP#277. The sum of first six terms of an A.P. is 42. The ratio of its 10th term to its 30th term is 1:3. Calculate the first term and the thirteenth term of the A.P.
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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#609 2016-06-16 14:11:21
- 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
#610 2016-06-16 17:39:23
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solutions in SP#277 are correct. Excellent, bobbym!
SP#278. Find the sum: 34 + 32 + 30 + .... + 10.
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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#611 2016-06-16 17:43:06
- 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
#612 2016-06-17 19:04:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#278 is correct. Good work, bobbym!
SP#279. Find the number of terms of the A.P. 54, 51, 48, ... so that the sum is 513.
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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#613 2016-06-18 16:18:33
- 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
#614 2016-06-18 17:14:55
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#279 is correct. Good work, bobbym!
SP#280. A sum of $700 is to be used to give seven cash prizes to a students for overall academic performance. If each prize is $20 less than its preceding prize, find the value of each of the prizes.
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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#615 2016-06-19 03:29:59
- 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
#616 2016-06-19 17:38:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution in SP#280 is correct. Excellent, bobbym!
SP#281. The sum of first five positive integers divisible by 6 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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#617 2016-06-20 00:10:44
- 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
#618 2016-06-20 16:50:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#281 is correct. Well done, bobbym!
SP#282. The sum of 'n' terms of the series a, 3a, 5a, ... 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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#619 2016-06-20 17:10:27
- 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
#620 2016-06-20 22:41:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#282 is correct. Neat work, bobbym!
SP#283. Find the sum of all two-digit natural numbers which when divided by 3 yield 1 as remainder.
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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#621 2016-06-20 23:59:39
- 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.
Offline
#622 2016-06-21 17:23:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#283 is correct. Excellent, bobbym!
SP#284.
form an Arithmetic Progression where is defined as below:Find the sum of first 15 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
#623 2016-06-21 17:48:05
- 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
#624 2016-06-22 16:51:23
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,418
Re: Series and Progressions
Hi;
The solution SP#284 is correct. Brilliant, bobbym!
SP#285. The problem #284 (former part) remains the same. The latter part:
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
#625 2016-06-22 17:18:23
- 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