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#876 2018-08-07 17:57:31

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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#877 2018-08-07 18:40:56

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

Re: Series and Progressions

Hi,

Good attempt, Monox D. I-Fly! In the final step, you missed to add 1.

SP#456. What well be the 33rd term of the sequence 1, 7, 25, 79, ....?
(a)

.
(b)
.
(c)
.
(d) None of these.


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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#878 2018-08-08 15:00:02

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

Re: Series and Progressions

Hi,

.

SP#457. The sides of a right angled triangle 6, 8, and 10 centimeters respectively. A new right angled triangle is made by joining the mid-points of all the sides. This process continues infinitely then, calculate the area of all the triangles so formed.


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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#879 2018-08-09 15:45:42

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

Re: Series and Progressions

Hi,

SP#458. Find the 20th term of the sequence

.


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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#880 2018-08-10 15:02:39

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

Re: Series and Progressions

Hi,

.

SP#459. If p, q, r are in Geometric Progression, which is true among the following?




.


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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#881 2019-03-17 20:08:20

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

Re: Series and Progressions

Hi,

.

#SP460. Find the sum of the following 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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#882 2019-03-19 17:48:34

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

Re: Series and Progressions

Hi,

.

SP#461. Find the sum of the 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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#883 2019-03-20 03:20:21

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

Re: Series and Progressions

Hi,

.

SP#462. Find the sum : 2 + 4 + 6 + 8 + ... up to 15 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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#884 2019-03-20 19:18:48

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

Re: Series and Progressions

Hi,

.

SP#463. 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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#885 2019-03-21 13:16:37

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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#886 2019-03-21 14:15:07

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

Re: Series and Progressions

Hi,

The solution SP#463 is correct. Neat work, Monox D. I-Fly!

SP#464. In an Arithmetic Progression, if common difference d = -4, number of term n = 7, and nth term

= 4, find a, 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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#887 2019-03-22 01:31:21

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

Re: Series and Progressions

Hi,

SP#465. Find the 11th term of the 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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#888 2019-03-22 07:00:57

math9maniac
Member
From: Tema
Registered: 2015-03-30
Posts: 443

Re: Series and Progressions


Only a friend tells you your face is dirty.

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#889 2019-03-22 14:28:53

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

#890 2019-03-22 15:09:27

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

Re: Series and Progressions

Hi,

The solution SP#465 is correct. Excellent, math9maniac, and Monox D. I-Fly!

SP#466. Find the 21st term of an Arithmetic Progression whose first two terms are -3 and 4.


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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#891 2019-03-22 15:45:20

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

#892 2019-03-22 17:13:08

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

Re: Series and Progressions

Hi,

Good attempt, Monox D. I-Fly!

SP#467. If the 2nd term of an Arithmetic Progression is 13 and 5th term is 25, what is it's 7th 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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#893 2019-03-22 18:57:56

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

#894 2019-03-22 22:10:58

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

Re: Series and Progressions

Hi,

.

The solution SP#467 is correct. Excellent, Monox D. I-Fly!

SP#468. If nth term of an Arithmetic Progression is (2n + 1), what is the sum of its first three 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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#895 2019-03-23 22:32:43

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

Re: Series and Progressions

Hi,

.

SP#469. Find the 20th term from the last term of the Arithmetic Progression 3, 8, 13, ...., 253.


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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#896 2019-03-24 15:47:51

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

Re: Series and Progressions

Hi,

.

SP#470. An Arithmetic Progression consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th 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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#897 2019-03-24 19:01:15

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

#898 2019-03-24 20:59:00

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

Re: Series and Progressions

Hi,

The solution SP#470 is correct. Excellent, Monox D. I-Fly!

SP#471. What is the common difference of an Arithmetic Progression in which

.


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

#899 2019-03-25 14:28:37

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

#900 2019-03-25 15:01:24

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

Re: Series and Progressions

Hi,

The solution SP#471 is correct. Neat work, Monox D. I-Fly!

SP#472. How many terms of an Arithmetic Progression 9, 17, 25, ... must be taken to give a sum of 636?


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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