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#176 2015-10-11 04:23:09
- 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.
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#177 2015-10-11 07:38:12
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 73 is perfect! Neat work!
SP # 74. Let there be an Arithmetic Progression with first term 'a', common difference 'd'. If
denotes the 'n'th term and be the sum of first 'n' terms, find(i) d, if a = 3, n = 8, and
(ii) a, 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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#178 2015-10-11 20:04:31
- 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
#179 2015-10-11 22:51:15
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 74 (both parts) is correct! Awesome!
SP # 75. Find the sum of the first 25 terms of an Arithmetic Progression whose 'n'th term is given by
.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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#180 2015-10-12 03:53:08
- 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
#181 2015-10-12 10:28:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 75 is correct! Splendid!
SP # 76. How many multiples of 4 lie between 10 and 250?
(Very tired. Talk to you later, bobbym!)
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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#182 2015-10-12 15:59:04
- 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
#183 2015-10-12 16:20:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 76 is correct! Neat work!
SP # 77. 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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#184 2015-10-13 05:12:08
- 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
#185 2015-10-13 06:50:14
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 77 is correct! Good work!
SP # 78. 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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#186 2015-10-14 04:20:44
- 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
#187 2015-10-14 08:33:34
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 78 is correct! Marvelous, bobbym!
SP # 79. Which term of the Arithmetic Progression 3, 15, 27, 39, .... will be 120 more than its 21st 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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#188 2015-10-14 22:08:31
- 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
#189 2015-10-14 23:12:09
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 79 is correct! Good work!
SP # 80. Find the common difference 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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#190 2015-10-15 03:29:33
- 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
#191 2015-10-15 03:59:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 80 is correct! Good work!
SP # 81. The first term of a Geometric Progression is -5 and the common ratio is -2. Find the 10th amd 20th 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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#192 2015-10-16 03:30:20
- 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
#193 2015-10-16 07:02:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 81 (both parts) are correct! Immaculate, bobbym!
SP # 82. Three numbers are in an Arithmetic Progression and their sum is 15. If 1, 3, 9 are are added to them respectively, they form a Geometric Progression. Find the numbers.
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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#194 2015-10-17 17:23:02
- 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
#195 2015-10-17 18:11:59
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
.
Neat work, bobbym!
SP # 83. Find the least value of 'n' for which the sum
to 'n' terms is greater than 7000.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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#196 2015-10-18 05:50:48
- 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.
Offline
#197 2015-10-18 06:28:41
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 83 is correct'! Good work!
SP # 84. Find the sum to 'n' of the Geometric Progression 7 + 77 + 777 + ... '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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#198 2015-10-18 11:57:14
- 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
#199 2015-10-18 12:36:48
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 84 is correct! Magnificent!
SP # 85. The sum of an infinite series in Geometric Progression is 57 and their cubes is 9747. Find the series.
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
#200 2015-10-19 11:21:09
- 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