MEMORIZING PI
Memorizing Pi
To remember the first seven digits of PI, count the number of letters in each word of the sentences:
"HOW I WISH I COULD CALCULATE PI"
This becomes PI = 3.141592
π = 3.141592
RAMANUJAN'S INFINITE SEQUENCE OF SQUARE ROOT (NESTED RADICAL).
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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