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#426 2016-04-08 16:49:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#192 is correct. Good work, bobbym!
SP#193. Find the 30th term of the Arithmetic Progression : 10, 7, 4, ...
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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#427 2016-04-08 18:41:08
- 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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#428 2016-04-09 17:23:59
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#193 is correct. Excellent, bobbym!
SP#194. Find the 11th 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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#429 2016-04-09 18:00:17
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
Hey (:
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#430 2016-04-09 19:08:12
- 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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#431 2016-04-09 21:56:57
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#194 is correct. Good work, Relentless and bobbym!
SP#195. Find the number of terms in the Arithmetic Progressions:
(i) 7, 13, 19, ....., 205.
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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#432 2016-04-10 02:05:16
- 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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#433 2016-04-10 16:40:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution in SP#195 (two parts) are correct. Neat work, bobbym!
SP#196. Find the 31st term of an Arithmetic Progression whose 11th term is 38 and the 16th term is 73.
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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#434 2016-04-10 22:47:35
- 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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#435 2016-04-11 00:11:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#196 is perfect. Excellent, bobbym!
SP#197. An Arithmetic Progression consists of 50 terms of which 3rd term is 12 and last term is 106. Find the 29th 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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#436 2016-04-11 11:42:31
- 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.
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#437 2016-04-11 17:07:29
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#197 is correct. Splendid, bobbym!
SP#198. If the 3rd and 9th terms of an Arithmetic Progression are 4 and -8 respectively, which term of this Arithmetic Progression is zero?
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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#438 2016-04-11 21:07:41
- 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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#439 2016-04-11 22:43:13
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#198 is correct. Neat work, bobbym!
SP#199. How many three-digit numbers are divisible by 7?
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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#440 2016-04-12 02:52:42
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
Hello 
You can find how many integers x there are divisible by y within a range by choosing a high number a and a low number b, at least one of which is divisible by y, solving this equation, and flooring (rounding down) the result:
Equivalently,
a and b are excluded from the count
Finally, IF BOTH a AND b are divisible by y, subtract 1.
Surely there are also more elegant methods xD
Last edited by Relentless (2016-04-12 03:10:18)
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#441 2016-04-12 03:43:50
- 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
#442 2016-04-12 16:59:45
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution(s) SP#199 is correct. Excellent, Relentless and bobbym!
SP#200. How many multiples of 4 lie between 10 and 250?
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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#443 2016-04-12 17:51:34
- 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.
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#444 2016-04-12 18:48:58
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
Hi, (:
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#445 2016-04-12 22:53:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#200 (60 multiples of 4) is correct. Excellent, bobbym and Relentless!
SP#201. For what values of n, are the nth terms of two 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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#446 2016-04-13 00:58:23
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
Hi
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#447 2016-04-13 03:26:49
- 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
#448 2016-04-13 16:52:19
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,246
Re: Series and Progressions
Hi;
The solution SP#201 is correct. Neat work, Relentless and bobbym!
SP#202. Determine the Arithmetic Progression (first four terms) whose third term is 16 and the 7th term exceeds the 5th term by 12.
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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#449 2016-04-13 21:10:42
- 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
#450 2016-04-13 21:34:37
- Relentless
- Member
- Registered: 2015-12-15
- Posts: 631
Re: Series and Progressions
Hey (:
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