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#751 2017-04-16 00:57:33

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.

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#752 2017-04-16 13:33:51

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi;

The solution SP #350 is correct. Good work, bobbym!

SP #351. If the sum of n terms of an A.P. is

, then find its nth 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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#753 2017-04-17 03:03:04

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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#754 2017-04-17 23:42:31

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi;

The solution SP #351 is correct. Neat work, bobbym!

SP #352. Find the 9th term of the A.P.

.


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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#755 2017-04-17 23:50:34

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.

Offline

#756 2017-04-18 18:39:14

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi;

The solution SP #353 is correct. Well done, bobbym!

SP #353. Which term of the A.P. 121, 117, 113, ... is its first negative 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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#757 2017-04-18 21:03:09

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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#758 2018-05-31 18:55:19

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#354. Find three arithmetic means between 3 and 19.


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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#759 2018-05-31 22:50:18

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#355. Which term of the Geometric Progression

is
?


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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#760 2018-06-01 12:55:28

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 1,239

Re: Series and Progressions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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#761 2018-06-01 13:58:04

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

The solution SP#355 is correct. Excellent, Monox D. I-Fly!

SP#356. Find five Geometric Means between 576 and 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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#762 2018-06-01 22:29:11

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#357. Consider an Arithmetic Progression : 2, 6, ..., 46 with 12 terms. Find the sum of the 4th and 9th 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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#763 2018-06-02 14:49:50

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#358. How many terms of the series 1 + 3 + 5 + 7 + ..... amounts to 123454321?


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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#764 2018-06-02 21:34:46

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#359. What is the sum of all two-digit numbers which when divided by 7 gives a remainder of 3?


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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#765 2018-06-03 14:40:56

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#360. A number 15 is divided into three parts which are in an Arithmetic Progression and the sum of their squares is 83. Find the smallest number.


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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#766 2018-06-03 22:23:41

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#361. Find the sum of the given series:

.


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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#767 2018-06-04 15:16:59

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#362. Find the value of

.


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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#768 2018-06-04 22:37:22

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#363. Find the sum to infinity of the 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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#769 2018-06-05 14:31:58

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

.

SP#364. Evaluate:

.


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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#770 2018-06-05 23:42:12

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#365. The 7th and 21st term of an Arithmetic Progression are 6 and -22 respectively. Find the 26th 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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#771 2018-06-06 12:43:05

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 1,239

Re: Series and Progressions


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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#772 2018-06-06 13:58:44

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi.

The

is perfect. Splendid, Monox D. I-Fly!

SP#366. The 4th and 10th terms of a Geometric Progression are

and 243 respectively. Find the second 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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#773 2018-06-06 23:46:53

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

.

SP#367. How many terms of an Arithmetic Progression must be taken for their sum to be equal to 120 if its third term is 9 and the difference between the seventh term and the second term is 20?


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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#774 2018-06-07 13:55:34

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

SP#368. Find the sum of the series

.


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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#775 2018-06-07 22:37:00

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,368

Re: Series and Progressions

Hi,

.

SP#369. Find the number of terms in the Arithmetic Progression 22, 28, 34, ......., 616.


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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