A Doubling Dilemma

Here is one of the misleading sequences in mathematics. I have given the first few numbers of the sequence, and your mission, if you choose to accept it, is to guess the next number.

1, 2, 4, 8, 16, ….?

Did you get 32 from the doubling stuff ?

The answer is actually 31! Yes, you read that correctly. 31.

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Mysterious Prime Series

Here are few amazing prime numbers, but it discontinues when eights 3’s are joined before 1 :

31
331
3331
33331
333331
3333331
33333331

The next number 333333331 is not a prime number. Where it is multiplied by 17 x 19607843 = 333333331.

The real mystery lies within 30, 300, 3000, 30000, etc…. or with 3*(10^n).
When these numbers are added to primes 1, 31, 331, 3331, etc… respectively it always results in a prime , however this tradition discontinues with 333333331.

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One minus One plus One minus One…. = ???

The title seems to be foolish, obviously no one knows the answer to this question because no one can actuate the last number of infinity, it’s endless…

It is sometimes called Grandi’s series, after Italian mathematician, philosopher, and priest Guido Grandi.

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1/2 + 1/4 + 1/8 + 1/16… = 1

This series was used as a representation of one of Zeno’s paradoxes( More On This Later ). The parts of the Eye of Horus were once thought to represent the first six summands of the series.

This fact is fantastic and again , it will show us the relation between infinite and Real numbers.

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Representation of 1/2 + 1/4 + 1/8 + 1/16 ...

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89 & The Fibonacci

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The Fibonacci Mystery

There is a stunning, strange and
wonderful connection between Fibonacci and the number 89.

The Fibonacci Series is encoded in the number 1/89 . Here’s how :

1/89 = 0.01 + 0.001 + 0.0002 + 0.00003 + 0.000005 + 0.0000008 + 0.00000013 + 0.000000021 + 0.0000000034 etc.

You would have obviously noticed that 1, 1, 2, 3, 5, 8, 13, 21, 34…. are all the Fibonacci Numbers.  Isn’t that amazing?

Shamoil Khomosi
Admin @ Fantastic Number

Golden Ratio & Fibonacci Numbers

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Golden Ratio Symbol
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The Original Fibonacci Series Source

Fibonacci Series is one of the most popular series in Maths , because it has some unique and amazing qualities. One of these aspects is it’s relation with the Golden Ratio (which equals 1.6180339… )

Let’s pour further into this topic ,
The Fibonacci Series is obtained by summing  up the final couple of  consecutive numbers which provides us with the next number in the series.

The Fibonacci Series goes like this : 1,1,2,3,5,8,13,21,34, etc….

Something remarkable that hides in here needs to be noticed – The Golden Ratio.
As you go further deep into the Fibonacci Numbers,  the ratio of any two consecutive Fibonacci Numbers nears the Golden Ratio.

Continue reading “Golden Ratio & Fibonacci Numbers”