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#251 2015-11-11 12:55:26
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 112 is correct! Neat work!
SP # 113. Which term of the sequence -1, 3, 7, .. is 95?
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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#252 2015-11-11 17:18:05
- 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.
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#253 2015-11-11 20:07:41
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 113 is correct! Well done!
SP # 114. The sum of 4th and 8th terms of an Arithmetic Progression is 24 and the sum of 6th and 10th terms is 34. Find the first term and 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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#254 2015-11-12 11:09:16
- 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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#255 2015-11-12 11:44:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 114 (both parts) is correct! Neat work!
SP # 115. Write the expression
for the Arithmetic Progression a, a + d, a + 2d, .....Hence, find the common difference of the Arithmetic Progression for which
(i) 11th term is 5 and 13th term is 79
(ii)
(iii) 20th term is 10 more than the 18th 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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#256 2015-11-13 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.
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#257 2015-11-13 16:42:04
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 115 (three parts) is perfect! Magnificent!
SP # 116. From the 8th term from the end of the Arithmetic Progression 7, 10, 13, ..., 184.
SP # 117. From the 10th term from the end of the Arithmetic Progression 8, 10, 12, ..., 126.
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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#258 2015-11-14 19:06:43
- 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.
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#259 2015-11-14 22:45:13
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 117 is correct! Well done!
SP # 118. In an Arithmetic Progression, the first term is 8, 'n'th term is 33 and the sum of first 'n' terms is 123. Find 'n' and 'd', the common difference.
SP # 119. In an Arithmetic Progression, the first term is 22, 'n'th term is -11 and the sum of first 'n' terms is 66. Find 'n' and 'd', the common difference.
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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#260 2015-11-17 20:30:17
- 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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#261 2015-11-17 22:16:20
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solutions SP # 118 and SP # 119 are both correct! Good work!
SP # 120. Three terms are in an Arithmetic Progression. If the sum of these numbers be 27 and the product 648, 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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#262 2015-11-18 06:09:25
- 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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#263 2015-11-18 11:14:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 120 is correct! Neat work!
SP # 121. The sum of first 'n' terms of an Arithmetic Progression is
. Find the 25th 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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#264 2015-11-19 03:14:16
- 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.
Offline
#265 2015-11-19 19:55:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
SP #122. What is the 18th term of the sequence defined 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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#266 2015-11-20 11:10:44
- 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.
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#267 2015-11-20 11:45:18
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 122 is correct! Neat work!
SP # 123. Find the 12th, 24th, and 'n'th term of the Arithmetic Progression given by 9, 13, 17, 21, 25...
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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#268 2015-11-20 16:49:33
- 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
#269 2015-11-20 17:07:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 123 (all four parts) are correct! Neat work!
SP # 124 (i). How many numbers of 2 digits are divisible by 7?
SP # 124 (ii) Two Arithmetic Progressions have same common difference. The first term of one of these is 3, and that of the other is 8. What is the common difference of theirs
(a) 2nd terms?
(b) 4th 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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#270 2015-11-21 20:45:07
- 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
#271 2015-11-21 21:22:20
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 124 (i) is correct! Well done!
SP # 125. Find the sum :
Have a Great Weekend, 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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#272 2015-11-22 10:00:15
- 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
#273 2015-11-22 12:18:28
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi bobbym,
The solution SP # 125 is correct! Good work!
SP # 126. Find the sum of all three digit natural numbers which are divisible by 8.
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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#274 2015-11-22 19:00:20
- math9maniac
- Member
- From: Tema
- Registered: 2015-03-30
- Posts: 443
Re: Series and Progressions
And I think you meant 'three digit natural numbers'. Thanks.
Only a friend tells you your face is dirty.
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#275 2015-11-22 19:14:52
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 46,246
Re: Series and Progressions
Hi math9maniac,
The solution SP # 126 is correct! Brilliant, math9maniac! (Transposing error!)
SP # 127. How many terms of the Arithmetic series 24 + 21 + 18 + ... + (-351)?
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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