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#1176 2021-02-26 15:00:51

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

Re: Series and Progressions

Hi,

Excellent!

SP # 659.


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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#1177 2021-02-27 05:10:12

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

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#1178 2021-02-27 14:56:33

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

Re: Series and Progressions

Hi,

Neat work!

SP#660.


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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#1179 2021-02-28 06:08:34

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1180 2021-02-28 15:16:13

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

Re: Series and Progressions

Hi,

Excellent!

SP#661. The sum of first three numbers of an Arithmetic Progression is 21, and their sum of their squares is 179. Find the 18th term of the Arithmetic Progression. (If there are two solutions, give both of them).


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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#1181 2021-03-01 05:58:31

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1182 2021-03-01 14:12:44

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

Re: Series and Progressions

Hi,

Excellent!

SP#662. Find the least possible sum of the Arithmetic Progression -30, -24, -18, -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.

Offline

#1183 2021-03-02 05:07:30

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1184 2021-03-02 15:10:55

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

Re: Series and Progressions

Hi,

Neat work!

SP#663. If the 4th term of an Arithmetic Progression is 14 and the 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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#1185 2021-03-03 04:30:36

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1186 2021-03-03 14:26:00

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

Re: Series and Progressions

Hi,

Neat work!

SP#664. Find the middle term of the Arithmetic Progression 3, 7, 11, ...... 147.


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

#1187 2021-03-04 04:36:40

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1188 2021-03-04 14:31:46

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

Re: Series and Progressions

Hi,

Neat work!

SP#665. Insert three geometric means between 5 and 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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#1189 2021-03-05 05:52:25

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1190 2021-03-05 13:24:04

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

Re: Series and Progressions

Hi,

Neat work!

SP#666.


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

#1191 2021-03-06 05:00:43

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1192 2021-03-06 15:06:29

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

Re: Series and Progressions

Hi,

Neat work!

SP#667.


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

#1193 2021-03-07 05:50:05

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1194 2021-03-07 14:55:43

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

Re: Series and Progressions

Hi,

Neat work!

SP#668.


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

#1195 2021-03-08 06:08:51

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1196 2021-03-08 14:33:15

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

Re: Series and Progressions

Hi,

Neat work!

SP#669. The sum of four terms of a Geometric Progression is 170. If the sum of the first and the fourth trms is 130, then find the product of the second and third 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.

Offline

#1197 2021-03-09 06:09:00

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1198 2021-03-09 15:29:50

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

Re: Series and Progressions

Hi,

Neat work!

SP#670. The ratio of the sum of first four terms in a Geometric Progression and first eight terms of a Geometric Progression is 1296 : 1921. Find the common ratio.


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

#1199 2021-03-10 05:20:49

irspow
Member
Registered: 2005-11-24
Posts: 1,055

Re: Series and Progressions


I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

Offline

#1200 2021-03-10 15:03:18

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

Re: Series and Progressions

Hi,

Neat work!

SP#671. Let x, y, and z be three terms of a Geometric Progression in the given order such that x + y + z = 14; when 1 is subtracted from the 1st and the 2nd term and 3 is subtracted from the 3rd term, the resultant series becomes an Arithmetic Progression. Find the value of xyz.


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

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