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#1051 2019-08-02 16:21:58

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

.

The solution SP#587 is correct. Neat work, Monox D. I-Fly!

SP#588. Find the sum of n terms of the following sequence: 3, 8, 13, 18, ....


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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#1052 2019-08-02 18:59:07

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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#1053 2019-08-02 23:24:35

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

.

The solution SP#587 is correct. Neat work, Monox D. I-Fly!

SP#588. Write the algebra of 10, 18, 26, .... Calculate the sum of first 30 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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#1054 2019-08-31 16:45:16

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

.

SP#589. The eighth term of an Arithmetic Progression is 40. Calculate the sum of first 15 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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#1055 2019-11-01 23:03:51

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#590. Find the sum of first 20 natural numbers. How much more is the sum of first 40 natural numbers than this?


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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#1056 2019-11-03 14:25:32

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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#1057 2019-11-04 00:09:10

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi Monox D. I-Fly,

.

The former part of the solution is correct. Neat work!

SP#591. The sum of first 21 terms of an Arithmetic Progression is 630. Find its eleventh 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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#1058 2019-12-01 00:55:04

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

.

SP#592. 21 is the middle term of an arithmetic sequence. How many terms are there in this sequence?


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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#1059 2019-12-02 21:09:58

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#593. The 5th term of an Arithmetic Progression is 40 and the 10th term is 20. Find the 15th term. How many terms of this Arithmetic Progression makes the sum 0?


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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#1060 2019-12-03 14:33:43

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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#1061 2019-12-03 16:18:30

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

Neat work!

SP#594. The angles of a polygon are in Arithmetic Progression. The smallest angle is 120°, and common difference 5°. Find the number of sides.


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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#1062 2019-12-06 03:20:31

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#595. The angles of a nine sided polygon are in an Arithmetic Progression. Which degree measure is always a term of this sequence?


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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#1063 2019-12-11 03:50:27

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#596. The first term of an Arithmetic Progression is 10, the twentieth term 60. Calculate the sum of first 20 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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#1064 2019-12-12 14:39:05

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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#1065 2019-12-12 17:12:42

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

The solution is correct. Keep it up!

SP#597. The angle of a 36 sided polygon forms an Arithmetic Progression with common difference 1. What is the smallest angle?


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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#1066 2019-12-18 00:33:59

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#598. The angles of a quadrilateral are in Arithmetic Progression. The largest angle is 150°. Find the other angles.


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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#1067 2019-12-19 03:30:29

666 bro
Member
From: Flatland
Registered: 2019-04-26
Posts: 245

Re: Series and Progressions

SP#598. The angles are 30°, 70°  and 110° respectively


"An equation for me has no meaning, unless it expresses a thought of God"- Srinivasa ramanujan

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#1068 2019-12-19 14:14:54

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

Neat work! The solution SP#598 is correct!

SP#599. Find the sum: 34 + 32 + 30 + .... + 10.


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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#1069 2019-12-19 18:52:26

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

#1070 2019-12-19 20:48:05

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

Neat work! The solution SP#599 is correct!

SP#600. Which term of the Arithmetic Progression : 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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#1071 2019-12-20 14:24:09

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

#1072 2019-12-20 15:18:13

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

The solution SP#600 is correct. Excellent!

SP#601. For what value on n are the nth terms of two Arithmetic Progressions : 63, 65, 67, .... and 3, 10, 17, .... equal?


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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#1073 2019-12-31 23:53:20

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#602. Ruby saved $5 in the first week become and then increased her weekly savings by $1.75. If in the nth week, her weekly savings become $20.75, find n.


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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#1074 2020-01-03 14:20:50

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#603. Two Arithmetic Progressions have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th 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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#1075 2020-02-01 00:27:46

ganesh
Administrator
Registered: 2005-06-28
Posts: 30,594

Re: Series and Progressions

Hi,

SP#604. Find the sum of the odd numbers between 0 and 50.


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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