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#301 2015-12-09 08:23:31
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
SP 141. A man has saved $640 during the first month,$720 in the second month and $800 in the third month. If he continues his savings in this sequence, what will be his savings in the 25th month?
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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#302 2015-12-09 18:24:48
- 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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#303 2015-12-09 20:06:36
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
The solution SP # 141 is correct! Well done!
SP # 142. A person has deposited $25,000 in an investment which yields 14% simple interest annually. Do these amounts (principal + interest) form an Arithmetic Progression? If so, determine the amount of investment after 20 years.
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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#304 2015-12-09 21:49:40
- 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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#305 2015-12-10 00:07:06
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
SP #143. Find 'n' so that the 'n'th terms of the following Arithmetic Progressions are the same.
1, 7, 13, 19, .... and 100, 95, 90, ....
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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#306 2015-12-10 07:27:48
- 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
#307 2015-12-10 10:08:00
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
The solution SP # 143 is correct! Brilliant!
SP # 144. The tenth and eighteenth 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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#308 2015-12-10 18:37:37
- 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
#309 2015-12-10 18:59:21
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
The solution SP # 144 is correct! Good work!
SP # 145. In an Arithmetic series, the sum of first 14 terms is -203 and the sum of the next 11 terms is -572. Find the first five 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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#310 2015-12-11 15:32:02
- 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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#311 2015-12-11 16:01:59
- 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
#312 2015-12-11 16:54:10
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi Monox D. I-Fly and bobbym,
The solution SP # 145 is correct! Excellent, Monox D. I-Fly and bobbym!
SP # 146. A gardener plans to construct trapezoid shaped structure in his garden. The longer side of the trapezoid needs to start with a row of 97 bricks. Each row must be decreased by 2 bricks and the construction should stop at 25th row. How many bricks does he need to buy?
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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#313 2015-12-11 22:54:20
- 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.
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#314 2015-12-12 07:19:17
- 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
#315 2015-12-12 12:54:37
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi Monox D. I-Fly and bobbym,
SP #147. Find the value of
for the following geometric series described: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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#316 2015-12-12 14:58:50
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
Hi;
You are correct about #146, I did not take two bricks from each side as the problem demands.
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
#317 2015-12-12 16:24:51
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi bobbym,
The solution SP # 147 is perfect! Neat work!
SP # 148. The 'n'th term of a sequence is 3n - 2. If it is an Arithmetic Progression, find its 10th 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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#318 2015-12-13 02:40:54
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
Re: Series and Progressions
Hi;
You are correct about #146, I did not take two bricks from each side as the problem demands.
Me, too. He got us in that phrase.
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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#319 2015-12-13 05:06:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Series and Progressions
Hi;
Me, too. He got us in that phrase.
It was a bit tricky.
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
#320 2015-12-13 10:19:23
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi,
The solution SP #148 is correct! Good work, Monox D. I-Fly and bobbym!
SP # 149. The 4th term of an Arithmetic Progression is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.
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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#321 2015-12-13 11:08:42
- 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
#322 2015-12-13 11:26:02
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi,
The solution SP #149 is correct! Good work, bobbym!
SP #150. An Arithmetic Progression consists of 60 terms. If the first and the last terms be 7 and 125 respectively, find the 32nd 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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#323 2015-12-13 11:51:42
- 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
#324 2015-12-13 14:33:41
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,423
Re: Series and Progressions
Hi Monox D. I-Fly,
SP #151. Find the Arithmetic Progression whose third term is 16 and seventh term exceeds its fifth term by 12.
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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#325 2015-12-13 18:37:21
- 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