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#76 2015-09-14 00:21:17

zetafunc
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Registered: 2014-05-21
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Re: Series and Progressions

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#77 2015-09-14 03:06:14

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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#78 2015-09-14 17:27:00

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The Solution SP # 28 is correct, zetafunc! Good work!

To bobbym : The first and the fourth are extremes; the second the the third are means. Try solving the problem now!

SP # 29. A man repays a loan of $3250 by paying $20 in the first month and increases the payment by $15 every month. How long will it take him to clear the loan?


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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#79 2015-09-14 21:23:04

zetafunc
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Registered: 2014-05-21
Posts: 2,434
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Re: Series and Progressions

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#80 2015-09-14 21:25:34

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.

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#81 2015-09-15 12:14:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 29 is correct! Excellent, zetafunc!

The solutions SP # 28 and SP # 29 are correct! Brilliant, bobbym!

SP # 30. Stephen started work in 1995 at an annual salary of $5000 and received a $200 raise eah year. In which year did his annual salary reach $7000?


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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#82 2015-09-15 12:15:37

zetafunc
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Registered: 2014-05-21
Posts: 2,434
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Re: Series and Progressions

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#83 2015-09-15 12:29:59

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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#84 2015-09-15 14:47:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution is correct! Well done! I made a mistake in in wording the problem!
The problem ought to have been
Stephen started work in 1995 at an annual salary of $5000 and received a $200 raise each year. In what year did his annual salary reach $7000?
and the solution : 11th year.

SP # 31. Find the nth term of the Arithmetic Progression 13, 8, 3, -2, ....


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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#85 2015-09-15 22:51:06

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,434
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Re: Series and Progressions

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#86 2015-09-15 23:18:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc,

The solution SP # 31 is correct! Excellent, zetafunc!

SP # 32.  If (x  + 1), 3x, and (4x + 2) are in Arithmetic Progression, find the value of 'x'.


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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#87 2015-09-15 23:36:33

zetafunc
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Registered: 2014-05-21
Posts: 2,434
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Re: Series and Progressions

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#88 2015-09-16 00:05:59

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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#89 2015-09-16 08:51:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 32 is correct! Good work, zetafunc and bobbym!

SP # 33. Determine the 10th term from the end of the Arithmetic Progression 4, 9, 14, ...., 254.


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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#90 2015-09-16 11:55:02

zetafunc
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Registered: 2014-05-21
Posts: 2,434
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Re: Series and Progressions

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#91 2015-09-16 12:17:26

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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#92 2015-09-16 16:16:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 33 is correct! Well done, zetafunc and bobbym!

SP # 34. The 10th and 18th terms of an Arithmetic Progression are 41 and 73 respectively, find the 26th 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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#93 2015-09-16 21:35:07

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,434
Website

Re: Series and Progressions

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#94 2015-09-17 00:06:16

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

#95 2015-09-17 15:16:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 34 is correct! Brilliant, zetafunc and bobbym!

SP # 35. Find the number of terms in the in Arithmeti 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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#96 2015-09-17 15:19:29

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.

Offline

#97 2015-09-17 16:29:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi bobbym,

The solution SP #35 is perfect! Excellent, bobbym!

SP # 36. Find 'n' if the given value of 'x' is the 'n'th term of the given 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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#98 2015-09-17 19:55:55

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,434
Website

Re: Series and Progressions

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#99 2015-09-18 01:15:47

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

#100 2015-09-18 01:36:16

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 47,063

Re: Series and Progressions

Hi zetafunc and bobbym,

The solution SP # 36 is correct, bobbym! Good work!

SP # 37. If 10th and 18th terms of an Arithmetic Progression,are 19 and 41 respectively, find the 40th 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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