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#201 2015-10-19 14:41:16
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP # 85 is correct! Superb, bobbym!
SP # 86. Find the sum of the series : 1 + 3 + 9 + 27 + ... to 10 terms.
SP # 87. Find the sum to infinity of the Geometric Progression 10, -9 8.1, ...
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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#202 2015-10-19 21:55:32
- 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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#203 2015-10-19 22:54:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solutions SP # 86 and SP # 87 are correct! Brilliant!
SP # 88. Find the sum of the following :
where k = 50.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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#204 2015-10-20 06:52:17
- 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.
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#205 2015-10-20 10:27:58
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP # 88 is perfect! Excellent!
SP # 89. Evaluate :
(i) 1 + 4 + 9 + .... + 1600.
.
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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#206 2015-10-21 04:26:08
- 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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#207 2015-10-21 07:41:17
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi,
The solutions SP # 89 (3 parts) are correct! Magnificent!
SP # 90. Find the second and 'n"th term of an Arithmetic Prpgression whose 6th term is 12 and 8th term is 22.
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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#208 2015-10-22 01:30:29
- 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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#209 2015-10-22 07:23:26
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
Excellent, bobbym!
SP # 91. The seventeenth term of an Arithmetic Progression is 5 more than twice its 8th term. If the eleventh term of the Arithmetic Ptogtession is 43, find the 'n'th 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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#210 2015-10-23 21:33:14
- 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.
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#211 2015-10-23 23:13:57
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP # 91 is perfect! Impeccable, bobbym!
SP # 92. The 19th term of an Arithmetic Progression is equal to three times its sixth term. If its 9th term is 19, 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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#212 2015-10-25 19:05:08
- 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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#213 2015-10-25 19:33:11
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP # 92 is correct! Well done!
SP # 93. The sum of a bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture initially, how many bacteria will be present at the end of 14th hour?
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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#214 2015-10-27 18:13:56
- 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.
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#215 2015-10-27 19:05:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP # 93 is perfect! Splendid, bobbym!
SP # 94. The sum of first three terms of a Geometric Progression is
and their product is -1. Find the common ratio and the 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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#216 2015-10-29 14:29:19
- 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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#217 2015-10-29 15:24:36
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solutions SP # 94 (both parts) are correct! Splendid!
SP # 95. Find the common ratio of the Geometric Progressions :
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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#218 2015-10-30 20:22:22
- 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.
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#219 2015-10-30 22:03:48
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The two parts of the solutions SP # 95 are correct! Marvelous!
SP # 96. If 'a', 'b', 'c', and 'd' are in geometric sequence, find
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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#220 2015-11-01 13:53:43
- 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
#221 2015-11-01 15:17:48
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
SP # 97. Find the 10th term and common ratio of the Geometric 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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#222 2015-11-02 15:09:32
- 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
#223 2015-11-02 17:34:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solution SP# 97 is perfect! Awesome!
SP # 98. Which term of the Geometric Progression
is ?SP # 99. The fifth term of a Geometric Progression is 1875. If the first term is 3, find the common ratio.
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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#224 2015-11-03 02:27:37
- 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
#225 2015-11-03 02:45:35
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,406
Re: Series and Progressions
Hi bobbym,
The solutions SP # 98 and SP # 99 are both correct! Excellent!
SP # 100. If the geometric sequences 162, 54, 18, ... and
have their 'n'th term equal, find the value of 'n'.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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