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#801 2018-06-21 15:50:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#394. Determine the sum of 6th and 19th term of the Arithmetic Progression 4, 9, 14, ....., 119 with 24 terms.


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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#802 2018-06-22 00:23:20

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#395. Find the sum of the given series : 1 + 2 + 3 + 4 + 5 + ...... + 5600.


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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#803 2018-06-22 14:10:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#396. What is the sum of 100 terms of the series 1 - 2 + 3 - 4 + 5 - 6 + ....... ?


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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#804 2018-06-23 00:27:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#397. Evaluate:

.


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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#805 2018-06-23 15:17:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#398. The sum of three consecutive terms of an Arithmetic Progression is -6 and their product is 90. Find the three numbers.


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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#806 2018-06-24 00:17:10

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#399. The 10th and 18th terms of an Arithmetic Progression are 41 and 73 respectively. Find the 27th 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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#807 2018-06-24 15:02:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#400. Find the sum of all 3 digit natural numbers, which are divisible by 8.


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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#808 2018-06-25 00:27:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#401. Find the sum of the series

.


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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#809 2018-06-25 17:21:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#402. How many terms of the arithmetic series 24 + 21 + 18 + 15 + .... be taken continuously so that their sum is -351?


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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#810 2018-06-26 00:29:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#403. Find the sum of the first 2n terms of the series

.


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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#811 2018-06-26 15:25:03

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#404. How many terms of the series 1 + 6 + 11 + ... must be taken so that their sum is 970?


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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#812 2018-06-27 00:39:51

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#405. The first term of an Arithmetic Progression is 17. The number of terms is 21 and their sum is -63. Find the common difference and middle 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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#813 2018-06-27 15:50:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#406. Find 5 terms in Geometric Progression whose product is 32 and the product of last two terms is 108.


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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#814 2018-06-28 01:13:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#407. If the 4th term of an Arithmetic Progression is 14 and 12th term is 70, find the first 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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#815 2018-06-28 14:33:48

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

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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#816 2018-06-28 14:42:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

The

is perfect. Neat work, Monox D. I-Fly!

SP#408. Find the 28th term of the Arithmetic Progression -8, -5, -2, 1, ...


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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#817 2018-06-28 14:51:23

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

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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#818 2018-06-28 15:42:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#409. Find the middle term(s) of 7 + 13 + 19 + ... + 73.


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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#819 2018-06-29 15:39:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

SP#410. Find the Arithmetic Mean of the series 1 + 5 + 9 + ... if the series has 50 terms.


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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#820 2018-06-30 14:43:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#411. Find the 25th term of the Arithmetic Progression -9, -5, -1, ...


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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#821 2018-07-01 14:09:04

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

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.

Offline

#822 2018-07-01 14:17:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

The

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

SP#412. If the 'P'th term of the Arithmetic Progression 73, 67, 61, ... is 1, find the value of P.


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.

Offline

#823 2018-07-01 15:42:11

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

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.

Offline

#824 2018-07-01 17:01:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

The solution SP#412 is perfect. Neat work, Monox D. I-Fly!

SP#413. Find the sum : 1 + 6 + 11 + .... + 101.


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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#825 2018-07-02 15:32:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Series and Progressions

Hi,

.

SP#414. Find the middle term/terms of the Arithmetic Progression 3, 10, 17, ...., 80.


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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