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#51 2015-09-10 20:50:30

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 15 is correct! Good work!

SP # 16. Determine the first term and common difference of an Arithmetic Progression whose 7th term is -1 and 16th term is 17.


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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#52 2015-09-10 21:33:01

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

Re: Series and Progressions

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#53 2015-09-10 21:47:57

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi zetafunc,

The solution SP # 16 is correct! Neat work, zetafunc!

SP # 17.  The 10th term of an Arithmetic Progression is 52 and 16th term is 82. Find the 32nd term and the general 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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#54 2015-09-10 21:52:32

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,107
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Re: Series and Progressions

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#55 2015-09-10 22:14:54

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi zetafunc,

The solution SP # 17 is perfect! Impeccable!

SP # 18.  The ratio of the sum of 'n' terms of two Arithmetic Progressions is

. Find the ratio of their 'm'th terms.


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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#56 2015-09-10 22:57:54

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.

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#57 2015-09-10 23:54:21

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 18 is correct! Superlative performance!

SP # 19. A Geometric Progression consists of four terms and has a positive common ratio. The sum of the first two terms is 9 and sum of the last two terms is 36. Find the first four terms of the Geometric 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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#58 2015-09-10 23:59:16

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

Re: Series and Progressions

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#59 2015-09-11 00:26:15

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi zetafunc,

The solution SP # 19 is correct! Good work!

SP # 20. A television set manufacturer has produced 1000 television sets in the seventh year and 1450 television sets in the tenth year. Assuming that the production increases uniformly every year, find the number of television sets produced in the first year and the 15th year.


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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#60 2015-09-11 02:47:58

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.

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#61 2015-09-11 08:32:40

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 20 is correct! Neat work!

SP # 21. A construction company will be penalized each day for delay in construction of a bridge. The penalty will be $4000  for the first day and will increase by $1000 for each following day. Based on its budget, the ompany can afford to pay a maximum of $165,000 towards penalty. Find the maximum number of days by which the completion of work can be delayed.


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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#62 2015-09-11 10:12:22

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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#63 2015-09-11 12:44:13

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 21 is perfect! Excellent, bobbym!

SP # 22. The first term of an Arithmetic Progression is -7 and the common difference is 5. Find its 18th term and the general 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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#64 2015-09-11 18:59:32

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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#65 2015-09-11 21:05:06

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 22 (18th term = 78) is correct! Neat work!

SP # 23. Find the number of integers between 50 and 500 which are divisible by 7.


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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#66 2015-09-11 21:22:18

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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#67 2015-09-11 22:03:25

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 23 is correct! Good work!

SP # 24. If the nth term of an Arithmetic Progression is (2n + 1), find the sum of first 'n' terms of the 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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#68 2015-09-12 22:52:03

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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#69 2015-09-13 00:44:50

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The soluton SP # 24 is correct! Excellent!

SP # 25. In an Arthmetc Progression, the sum of frst 'n' terms is

. Find its 25th 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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#70 2015-09-13 01:29:45

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

Re: Series and Progressions

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#71 2015-09-13 02:15:49

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi zetafunc,

The solution SP # 25 is correct! Spectaular, zetafunc!

SP # 26. If the 10th term of an Arithmetic Progression is 52 and 17th term is 20 more than the 13th term, find the frst term and ommon difference.


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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#72 2015-09-13 06:45:08

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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#73 2015-09-13 11:42:01

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi math9maniac,

The solution SP # 26 is perfect! Neat work!

SP # 27. The sum of three terms of an Arithmetic Progression is 21 and the product of the first and the third terms exceeds the second term by 6. Fnd the three terms.


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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#74 2015-09-13 18:41:56

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

#75 2015-09-13 19:34:07

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

Re: Series and Progressions

Hi bobbym,

The solution SP # 27 is correct! Neat work!

SP # 28. Divide 32 into four parts whih are in an Arithmetic Progression  such that the product of extremes is to the product of means is 7:15.


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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