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RAMANUJAN'S INFINITE SEQUENCE OF SQUARE ROOT (NESTED RADICAL).

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         INFINITE SEQUENCE OF SQUARE ROOT        INFINITE SEQUENCE :                   An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are  N  = (0, 1, 2, 3, ...) and  S  = (1, 1/2, 1/4, 1/8, ..., 1/2  n  , ...).  INFINITE SEQUENCE OF SQUARE ROOT: Consider,                  y = x + n                (x +n)² = n² + x(x+2n)               (x + n) = √[ n² +x(x+2n)]               (x + 2n) = √[ n² +x(x+2n)(x+3n)]               ( x + 3n) = √[ n² +x(x+2n)(x+3n)(x+4n)]               ...       ...
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INVENTION OF ZERO

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 INVENTION OF ZERO The concept of zero has not always been around, however, the introduction of zero bought a lot of changes not only in math but also in the general life of people. Zero has so many different names, for example, ‘null’, ‘nil’, ‘0’ as a digit, ‘sunya’ in Sanskrit, and so on. It is fascinating how the origin of zero bought changed and now it is used as a prime digit in mathematics. Before learning about the modern zero, let’s learn about the origin of zero in India,   Origin of Zero in India The origin of zero in India came from a well-known astronomer and mathematician of his time, Aryabhatta. The well-known scientist used zero as a placeholder number. In the 5th century, Aryabhatta introduced zero in the decimal  number system  and hence, introduced it in mathematics. After Aryabhatta, Brahmagupta described rules for zero in the 7th century. The most evident proof of the origin of zero in mathematics is mentioned in the oldest manuscript of India kno...
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THE DIFFY SQUARES

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A Diffy Squares Math Concepts: Subtraction, estimation, patterns, strategy. How it Works:     Draw a square, and pick four numbers to go in each of the corners. Put a dot on the midpoint of each side, and find the positive difference between the numbers on the closest corner.  Now connect the midpoints. Lo and behold, you’ve got yourself another square! Which means you can repeat the process until you get all zeroes.  The above shown is an example of a diffy square with four positive numbers 3, 1, 9 & 12.
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