“How can you relate relation, function and sequence and what is a major role of sequence in daily life.”?
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If A and B are non-empty the a subset of A*B ={(a,b)| a belongs to A and b to B}
A function is a subset of A*B such that (a,b) = (a,c) the b = c for every a in A. A sequence is a function for which A = {1,2,3,...}
When you stand in a queue, its a sequence of human beings.
Bus numbers of local transport, Railway numbers, and so on is a sequence. If you visit a restaurant, the menu card is an excellent example of both a function and a sequence. Sun, Mon, Tue,... is a seq of 7 terms, Jan, feb, march,...is a seq of 12 terms and there are many many such examples. One has to keep "mathematical" eyes open and appreciate mathematics in everyday life!
Darvin's discovery of a human being is also a sequence of developments. From a monkey to human beings.....
We have sequnces of rational numbers converging to an irrational number.