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**anyarules****Member**- Registered: 2005-07-24
- Posts: 29

pls complete this::

* 81 27 135 45 __ 75 __

* 4 10 18 28 40 __ __ __

* 11 20 27 __ 35 36

thanx guys!!;):D:cool:

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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

1. /3, *5, /3, *5...

2. +6, +8, +10, +12, ....

3. +9, +7, +5, +3, +1

*Last edited by Ricky (2006-02-18 12:38:35)*

"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."

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**anyarules****Member**- Registered: 2005-07-24
- Posts: 29

thanx

but i'm cause no answers?

but man!

*Last edited by anyarules (2006-02-19 18:26:43)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,545

anyarules, Ricky gave the clues. I shall give the answers.

* 81, 27, 135, 45, 225 , 75, 375

* 4, 10, 18, 28, 40, 54, 70, 88

* 11, 20, 27, 32, 35 , 36

Character is who you are when no one is looking.

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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

anyarules, Ricky gave the clues. I shall give the answers.

I just did that because I know that ganesh is clueless.

"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."

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**sabdulsamee****Member**- Registered: 2006-05-11
- Posts: 9

I have a sequence to share with everyone

Its name is Even Squares and it goes like this: 4, 16, 36, 64, 100, 144, 196, 256, 324, 400, 484, 576, 676, 784, 900, 1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 2304, 2500, 2704, 2916, 3136, 3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, 5476, 5776, 6084, 6400, 6724, 7056, 7396, 7744, 8100, 8464, 8836, 9216, 9604, ...

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**sabdulsamee****Member**- Registered: 2006-05-11
- Posts: 9

sabdulsamee wrote:

I have a sequence to share with everyone

Its name is Even Squares and it goes like this: 4, 16, 36, 64, 100, 144, 196, 256, 324, 400, 484, 576, 676, 784, 900, 1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 2304, 2500, 2704, 2916, 3136, 3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, 5476, 5776, 6084, 6400, 6724, 7056, 7396, 7744, 8100, 8464, 8836, 9216, 9604, ...

These are the first 49 terms of the sequence of which

the first term is 4,

the second term is 16, and

the third term is 36. Now

4 is 2 times 2, and 2 is 1 plus 1.

16 is 4 times 4, and 4 is 2 plus 2.

36 is 6 times 6, and 6 is 3 plus 3.

64 is 8 times 8, and 8 is 4 plus 4.

100 is 10 times 10, and 10 is 5 plus 5.

144 is 12 times 12, and 12 is 6 plus 6.

196 is 14 times 14, and 14 is 7 plus 7.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 17,545

Hi sabdulsamee,

Welcome to the forum.

The nth term of the series you have given is (2n)²,

thus the first term would be (2 x 1)²=2² = 4

and the second would be (2 x 2)²=4² = 16, and so on.

The differences of the terms of this series would form an Arithmetic Progression.

The differences are 12, 20, 28, 36, 44, 52, .....

You can see that the common difference of the terms in the series is 8.

Character is who you are when no one is looking.

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