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#226 2015-11-03 18:09:06
- 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.
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#227 2015-11-03 20:31:49
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 100 is perfect! Immaculate!
SP # 101. Find the sum of the Arithmetic series:
(i) 38 + 35 + 32 + ... + 2.
(ii)
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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#228 2015-11-04 00:00:11
- 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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#229 2015-11-04 00:37:54
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solutions in SP # 101 are correct! Wonderful!
SP # 102. Find the sum of the first 40 terms of 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.
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#230 2015-11-04 04:41:09
- 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
#231 2015-11-04 16:01:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 102 is correct! Marvelous!
SP # 103. A sum of $1000 is deposited every year at 8% simple interest. Calculate the interest at the end of each year. Do these interest amounts form an Arithmetic Progression? If so, find the total interest at the end of 30 years.
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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#232 2015-11-05 00:41:21
- 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
#233 2015-11-05 03:38:10
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
SP # 104. Find the
for the Arithmetic series described : a = 5, n = 30, l = 121.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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#234 2015-11-06 08:04:38
- 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
#235 2015-11-06 08:22:00
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
#SP # 105. Find the sum of all three digit numbers, which are divisible by 9.
See you later!
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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#236 2015-11-07 04:12:14
- 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
#237 2015-11-07 10:05:12
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solutions SP # 104 and SP # 105 are both correct! Excellent!
SP # 196. The sum of first 'q' terms of an Arithmetic Progression is
. If the 'p'th term is -60, find the value of 'p'. Also, find the eleventh 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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#238 2015-11-07 17:10:01
- 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
#239 2015-11-07 19:15:03
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
SP # 107. If the 8th term of an Arithmetic Progression is 31 and the 15th term is 16 more than the 11th term, find the first four terms of the AP.
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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#240 2015-11-08 14:55:41
- 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.
Offline
#241 2015-11-08 21:43:32
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 107 is correct! Good work!
SP # 108. Which term of the Arithmetic Progression 5, 15, 25, .... will be 130 more than its 31st 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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#242 2015-11-09 17:45:54
- 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
#243 2015-11-09 18:10:10
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 108 is correct! Good work!
SP # 109. Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.
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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#244 2015-11-10 12:13:48
- 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
#245 2015-11-10 14:32:33
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 109 is correct! Good work!
SP # 110. Find the 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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#246 2015-11-10 15:24:34
- 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
#247 2015-11-10 16:37:01
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 110 (i) is correct! Excellent!
SP # 111. Find the 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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#248 2015-11-10 20:00:30
- 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
#249 2015-11-10 23:33:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,385
Re: Series and Progressions
Hi bobbym,
The solution SP # 111 (161811) is correct! Good work!
SP # 112. Show that the sequence 9, 12, 15, 18, ... is an Arithmetic Progression. Find its 16th term and the general 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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#250 2015-11-11 12:22:58
- 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