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#126 2015-09-23 01:16:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 47 is correct! Excellent!

SP # 48. Find the sum of the Arithmetic Progression -26, -24, -22, .... to 36 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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#127 2015-09-23 10:59:34

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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#128 2015-09-23 15:24:27

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 48 is corret! Good work!

SP # 49. Find the sum of all integers between 50 and 500, which are divisible by 7.

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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#129 2015-09-24 00:32:41

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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#130 2015-09-24 01:25:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 49 is correct! Excellent!

SP # 50. In an Arithmetic Progression, if the 5th and 12th terms are 30 and 65 respectively, what is the sum of first 20 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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#131 2015-09-24 01:33:25

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

#132 2015-09-24 07:04:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 50  correct! Neat work!

SP # 51. Find the sum of
(i) the first 15 multiples of 8.
(ii) the frst 40 positive integers divisible by (a) 3 (b) 5 (c) 6.
(iii) all three digit natural numbers which are divisible by 13.
(iv) all three digit natural numbers which are dvispble by 11.

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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#133 2015-09-25 20:58:57

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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#134 2015-09-25 22:12:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi math9maniac,

The solutions  SP # 51 (i), (ii) - (a), (b), and (c), (iii), and (iv) are all correct! Outstanding, math9maniac!

SP # 52. Find the sum of the following Arithmetic Progression :

to 25 terms.
(ii) (a + b, (a - b), (a - 3b), .... to 22 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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#135 2015-09-26 01:57:48

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

#136 2015-09-26 04:20:22

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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#137 2015-09-26 08:23:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym and math9maniac,

The solution SP # 52 (both parts) are correct! Brilliant, bobbym and math9maniac!

SP # 53. Find the sum to 'n' term of the Arithmetic Progression 5, 2, -1, -4, -7, ...

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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#138 2015-09-26 19:10:33

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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#139 2015-09-26 22:34:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi math9maniac,

The solution SP # 53 is correct! Brillant, math9maniac!

SP # 54. How many terms of the sequence 18, 16, 14, should be taken so that their sum is zero?

SP # 55. How many terms are there in the Arithmetic Progression whose first and fifth terms are -18 and 2 respectively and the sum of the terms is 40?

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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#140 2015-09-26 22:49:42

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

#141 2015-09-27 08:59:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solutions SP # 54 and SP # 55 are correct! Excellent! (Regarding SP # 55, you are correct! Thanks for correcting!)

SP # 56. Which term of the Arithmetic Progression
(i) 3, 8, 13, ... is 248?
(ii) 84, 80, 76, ... is 0?

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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#142 2015-09-27 11:58:01

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

#143 2015-09-27 16:05:25

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 56 (two parts) is correct, bobbym!  Good work!

SP # 57. Find the second term and 'n'th term of an Arithmetic Progression whose 6th term is 12 and 8th term is 22.

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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#144 2015-09-28 09:00:22

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

#145 2015-09-28 15:17:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

Partially correct, bobbym! Well done!

SP # 58. The first term of an Arithmetic Progression is 2 and the last term is 50. The sum of all these terms is 442. Find 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.

Offline

#146 2015-09-28 23:04:04

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

#147 2015-09-29 00:41:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi bobbym,

The solution SP # 58 is correct! Well done!

SP # 59. find the sum of first 22 terms of an Arithmetic Progression in which d = 22 and

.

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

#148 2015-09-29 06:01:39

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

Re: Series and Progressions

Only a friend tells you your face is dirty.

Offline

#149 2015-09-29 08:41:26

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,384

Re: Series and Progressions

Hi math9maniac,

The Solution SP # 59 is correct! Splendid!

SP # 60. Find the sum :
(i) 2 + 3 + 5 + ..... + 200
(ii) 3 + 11 + 19 + .... + 803
(iii) (-5) + (-8) + (-11) + (-230).

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

#150 2015-09-29 14:40:33

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

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