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#101 2015-09-18 01:48:02

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.

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#102 2015-09-18 05:38:48

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,107
Website

Re: Series and Progressions

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#103 2015-09-18 06:39:11

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 407

Re: Series and Progressions


Only a friend tells you your face is dirty.

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#104 2015-09-18 07:58:16

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym, zetafunc, and math9maniac,

The solution SP # 37 is correct! Good work, bobbym, zetafunc, and math9maniac!

SP # 38. Find the common difference and write the next four terms of each of the following Arithmetic Progression 
(i) 1, -2, -5, -8...
(ii) 0, -3, -6, -9.....


.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#105 2015-09-18 08:03:54

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,107
Website

Re: Series and Progressions

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#106 2015-09-18 11:49:35

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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#107 2015-09-18 14:18:49

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 38 (all four parts) are correct! Marvelous, zetafunc and bobbym!

SP # 39. A manufacturer of television sets produced 600 units in the third year and 700 units in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find the production in
(i) the first year
(ii) the 10th year
(iii) 7 years.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#108 2015-09-18 22:38:16

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,107
Website

Re: Series and Progressions

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#109 2015-09-19 01:53:10

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

#110 2015-09-19 12:24:18

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 39 is 66.67 % correct, zetafunc! Good work!

SP # 40. The sum of 'n' terms of an Arithmetic Progression is

. If its 'm'th term is 168, find the value of 'm'. Also, thn the 20th term of this Arithmetic Progression.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#111 2015-09-19 22:41:17

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.

Offline

#112 2015-09-20 09:18:36

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym,

The solution SP # 40 (both parts) is correct! Excellent, bobbym!

SP # 41. Find the sum of first 20 terms of an Arithmetic Progression in which the third term is 7 and seventh term is two more than thrice of its 3rd term.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#113 2015-09-20 11:02:01

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

#114 2015-09-20 17:32:14

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym,

The solution SP # 41 is correct! Smart work!

SP # 42. The angles of a quadrilateral are in an Arithmetic Progression whose common difference is 10 degrees. Find the angles.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#115 2015-09-20 18:04:02

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

#116 2015-09-20 19:04:47

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym,

The solution SP # 42 is correct! Perfect!

SP # 43. Find the sum :

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#117 2015-09-21 01:26:15

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 407

Re: Series and Progressions

Last edited by math9maniac (2015-09-21 01:27:38)


Only a friend tells you your face is dirty.

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#118 2015-09-21 11:28:37

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi math9maniac,

The solution SP # 43 is correct! Excellent!

SP # 44. Find the sum of 'n' terms of Arithmetic Progression whose nth term is given by

.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#119 2015-09-21 13:54:48

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

#120 2015-09-21 14:48:41

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym,

SP # 45. Find the value of 'x' for which (8x + 4), (6x - 2), and (2x + 7) are in an Arithmetic Progression.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#121 2015-09-22 02:14:51

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

#122 2015-09-22 07:38:58

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

Hi bobbym,

The solution SP # 45 is correct! Good work!

SP # 46, Find the common difference of the following Arithmetic Progression, amd write the next two terms:
(i} 51, 59, 67, 75. ...
(ii) 1.8, 2.0, 2.2, 2.4, ....


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#123 2015-09-22 12:22:16

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

#124 2015-09-22 14:02:12

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,297

Re: Series and Progressions

hi bobbym,

The solution SP # 46 (both parts) are correct! Meticulous!

SP # 47. Find the sum of all integers between 84 and 719, which are multiples of 5.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#125 2015-09-22 18:43:14

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

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