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#476 2016-04-20 23:50:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi bobbym and Relentless,

The solution SP#214 is correct. Marvelous, bobbym and Relentless!

SP#215. Find the sum of the following Arithmetic Progression: -5 + (-8) + (-11) + ..... + (-230).


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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#477 2016-04-21 00:06:57

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Series and Progressions

Hi! big_smile

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#478 2016-04-21 02:46:18

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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#479 2016-04-21 16:34:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#215 is correct. Excellent, Relentless and bobbym!

SP#216. In an Arithmetic Progression, given a, the first term = 5 common difference d = 3, and

Find n and
, the number of terms and sum of n terms respectively.


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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#480 2016-04-21 19:59:12

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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#481 2016-04-21 23:20:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solutions in SP#216 (two parts) are correct. Excellent, bobbym!

SP#217. In an Arithmetic Progression, given a = 7,

find d and


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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#482 2016-04-22 01:07:20

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Series and Progressions

Hey smile

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#483 2016-04-22 02:48:30

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.

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#484 2016-04-22 17:18:58

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution (two parts) in SP#217 is correct. Neat work, Relentless and bobbym!

SP#218. In an Arithmetic Progression, given

and d = 3. 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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#485 2016-04-22 19:24:57

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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#486 2016-04-23 17:49:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#218 is correct. Neat work, bobbym!

SP#219. In an Arithmetic Progression, given

Find d and


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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#487 2016-04-23 17:54:50

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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#488 2016-04-23 18:06:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#219 (both parts) are correct. Neat work, bobbym!

SP#220. In an Arithmetic Progression, given d = 5 and

. Find a and
.


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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#489 2016-04-23 18:12:03

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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#490 2016-04-24 00:17:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#220 (two parts) are correct. Excellent, bobbym!

SP#221. In an Arithmetic Progression, given a = 2, d = 8,

, find n and
.


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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#491 2016-04-24 03:05:38

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.

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#492 2016-04-24 17:21:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#221 (i) is correct (n=5). Regarding (ii), I get

SP#222. In an Arithmetic Progression, given a = 8,

find n and d.


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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#493 2016-04-24 17:56:32

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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#494 2016-04-24 23:39:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution (two parts) in SP#222 are correct. Excellent, bobbym!

SP#223. In an Arithmetic Progression, given

, find n and a.


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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#495 2016-04-25 03:36:10

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

#496 2016-04-26 20:07:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solutions (two parts) in SP#223 are correct. Well done, bobbym!

SP#224. In an Arithmetic Progression, a = 3, n = 8, and

Find d.


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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#497 2016-04-26 21:38:48

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

#498 2016-04-27 18:10:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#224 is correct. Neat work, bobbym!

SP#225. In an Arithmetic Progression, given l (Last term) = 28,

, and there are total 9 terms. Find a.


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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#499 2016-04-27 18:19:59

Relentless
Member
Registered: 2015-12-15
Posts: 631

Re: Series and Progressions

Hi smile

Last edited by Relentless (2016-04-27 18:23:43)

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#500 2016-04-27 18:27:14

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,424

Re: Series and Progressions

Hi;

The solution SP#225 is correct. Neat work, Relentless!

SP#226. How many terms of the Arithmetic Progression : 9, 17, 25, ... must be taken to give a sum of 636?


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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