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#851 2018-07-14 15:23:22

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

Re: Series and Progressions

Hi,

.

SP#431. The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, find the number of terms in 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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#852 2018-07-15 14:14:02

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

Re: Series and Progressions

Hi,

SP#432. Find the sum of the first 20 terms of the 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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#853 2018-07-16 14:50:42

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

Re: Series and Progressions

Hi,

.

SP#433. Find the sum of first five terms 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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#854 2018-07-17 15:02:12

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

Re: Series and Progressions

Hi,

.

SP#434. Find the value of

.


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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#855 2018-07-18 15:23:59

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

Re: Series and Progressions

Hi,

.

SP#435. The third term of a Geometric Progression is 4. Find the product of its 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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#856 2018-07-19 14:44:45

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

Re: Series and Progressions

Hi,

.

SP#436. If sum of 10 terms of an Arithmetic Progression is 15 and sum of 15 terms of the same Arithmetic Progression is 10, find the sum of its 25 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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#857 2018-07-20 15:24:13

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

Re: Series and Progressions

Hi,

SP#437. Find the sum of first 10 terms of the 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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#858 2018-07-21 15:45:04

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

Re: Series and Progressions

Hi,

.

SP#438. Find the sum of the following series: 31 + 33 + 35 + ... + 53.


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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#859 2018-07-22 14:52:31

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

Re: Series and Progressions

Hi,

SP#439. Find the sum of all natural numbers between 300 and 500 which are divisible 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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#860 2018-07-23 15:01:23

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

Re: Series and Progressions

Hi,

.

SP#440. If the 4th and 7th terms of a Geometric Progression are 54 and 1458 respectively, find the first three terms of the Geometric 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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#861 2018-07-24 14:24:11

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

Re: Series and Progressions

Hi,

SP#441. Find the value of 'm' if

are in Geometric 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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#862 2018-07-25 15:01:36

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

Re: Series and Progressions

Hi,

.

SP#442. Find the common difference of the 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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#863 2018-07-26 15:33:24

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

Re: Series and Progressions

Hi,

.

SP# 443. Find the sum of all 3 digit natural numbers which are divisible by 9.


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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#864 2018-07-27 17:08:29

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

Re: Series and Progressions

Hi,

.

SP#444. Find the sum of n terms of 7 + 77 + 777 + .....


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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#865 2018-07-28 16:05:18

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

Re: Series and Progressions

Hi,

.

SP#445. Find the common ratio of the Geometric 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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#866 2018-07-29 15:46:14

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

Re: Series and Progressions

Hi,

.

SP#446. The side of a square is 16 centimeters. Infinite squares are made by joining the mid-points of the square. Calculate the area of all the squares made.


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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#867 2018-07-30 15:06:51

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

Re: Series and Progressions

Hi,

SP#447. In a Geometric Progression, the sum of the first and the last is 66, and the product of the second and the last but one term is 128. Determine the first term of the 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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#868 2018-07-31 16:15:38

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

Re: Series and Progressions

Hi,

SP#448. A ball is thrown from a height of 600 meters on the ground. The ball bounces 2/3 times of its every last bounce then calculate the total distance traveled by the ball till it steps.


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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#869 2018-08-01 14:55:13

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

Re: Series and Progressions

Hi,

SP#449. Find the value of 1 - 2 - 3 + 2 - 3 - 4 + 3 - 4 - 5 + ....+ up to 100 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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#870 2018-08-02 15:21:48

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

Re: Series and Progressions

Hi,

SP#450. Find the value of 4 + 32 + 108 + 256 + 500 + .... + 4000 if

.


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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#871 2018-08-03 15:50:03

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

Re: Series and Progressions

Hi,

.

SP#451. Find the value 1 + 2 + 3 + .... + n if

.


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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#872 2018-08-04 15:21:56

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

Re: Series and Progressions

Hi,

SP#452. Find the sum of the series 6 + 66 + 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.

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#873 2018-08-05 15:38:27

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

Re: Series and Progressions

Hi,

.

SP#453. If the third term of a Geometric Progression is 2, then find the product of first five terms.
(a) 25
(b) 32
(c) 10
(d) 15.


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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#874 2018-08-06 15:42:06

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

Re: Series and Progressions

Hi,

.

SP#454. Two numbers are such that their Geometric Mean is 20% lower than their Arithmetic Mean. Find the ratio between the numbers.


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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#875 2018-08-07 15:18:59

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

Re: Series and Progressions

Hi,

SP#455. In an Arithmetic Progression, if a = -7.2, d = 3.6,

, find the value of n.


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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