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#776 2018-06-08 15:02:25

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#370. How many terms are there in an Arithmetic Progression whose first and fifth terms are -14 and 2 respectively and the sum is 40?


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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#777 2018-06-08 20:55:54

ganesh
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Posts: 25,601

Re: Series and Progressions

Hi,

SP#371. Find the number of terms of the Arithmetic Progression 98, 91, 84, ..... must be taken to get a sum of zero.


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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#778 2018-06-09 12:32:51

Monox D. I-Fly
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From: Indonesia
Registered: 2015-12-02
Posts: 1,252

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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#779 2018-06-09 14:54:43

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

The solution SP#371 is correct. Excellent, Monox D. I-Fly!

SP#372. Find the middle term of the series 3, 7, 11, ...., 147.


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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#780 2018-06-09 22:45:41

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#373. How many terms are identical in the two Arithmetic Progressions 1, 3, 5, .... up to 120 terms and 3, 6, 9, .... up to 80 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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#781 2018-06-10 14:14:33

ganesh
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Posts: 25,601

Re: Series and Progressions

Hi,

SP#374. If the sum of first 11 terms of an Arithmetic Progression is equal to sum of first 19 terms of that Arithmetic Progression, find the sum of the first 30 terms of that 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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#782 2018-06-11 00:47:45

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#375. Find the sum of the integers between 1 and 200 that are multiples of 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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#783 2018-06-11 15:38:49

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#376. How many terms are there in the Geometric Progression 5, 20, 80, 320, ...., 20480?


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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#784 2018-06-12 00:03:08

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#377. Find the sum of the first hundred natural numbers divisible by 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.

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#785 2018-06-12 15:14:25

ganesh
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Posts: 25,601

Re: Series and Progressions

Hi,

SP#378. The third term of a Geometric Progression is 4. Find the product of the first five 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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#786 2018-06-12 23:48:28

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#379. The sum of three consecutive terms of a Geometric Progression is 42 and their product is 512. Find the largest of these numbers.


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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#787 2018-06-13 15:05:41

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#380. The sum of first three terms of a Geometric Progression is to the sum of the first six terms is 125:152. Find the common ratio 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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#788 2018-06-13 23:24:23

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#381. Find the sum of all odd numbers of four digits which are divisible by 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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#789 2018-06-14 14:56:49

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#382. If the Arithmetic Mean and Geometric Mean of two numbers are 10 and 8 respectively, find their Harmonic Mean.


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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#790 2018-06-15 00:42:11

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#383. The sum of first two terms of a Geometric Progression is

and the sum to infinity of the series is 3. Find the first 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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#791 2018-06-15 14:53:40

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#384. Find is the least possible sum of the Arithmetic Progression -23, -19, -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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#792 2018-06-15 23:40:32

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#385. Which term of the Arithmetic Progression 21, 42, 63, .... is 420?


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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#793 2018-06-17 00:18:47

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#386. If the sum of three consecutive terms of a Geometric Progression is 38 and their product is 1728, find these three consecutive 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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#794 2018-06-17 23:57:21

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#387. 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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#795 2018-06-18 14:45:02

ganesh
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Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#388. If the 6th term of an Arithmetic Progression : 15, 14, 13, ... is 10 and the tenth term is 6, find 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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#796 2018-06-19 00:13:55

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#389. Find the sum of all 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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#797 2018-06-19 14:28:06

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

SP#390. Find the sum of the series : 2 + 6 + 18 + .... + 4374.


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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#798 2018-06-19 23:56:36

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#391. Find the sum of the given series:  1 + 3 + 5 + 7 + .... up to 100 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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#799 2018-06-20 14:12:31

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#392. 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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#800 2018-06-21 00:03:14

ganesh
Administrator
Registered: 2005-06-28
Posts: 25,601

Re: Series and Progressions

Hi,

.

SP#393. If the sixth term of a Harmonic Progression is

and its tenth term is
, find the first term of the Harmonic 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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