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Fibonacci is important because he introduced the Arabic number system to Europe. His sequence is much less important - it is mainly a mathematical curiosity.
In order to find the unknown term in a number sequence, you first need to calaculate the advantage of the numbers.
I = 1 V = 5 X = 10 L = 50 C =100 D = 500 M = 1000 The sequence of them is important. Check out: http://en.wikipedia.org/wiki/Roman_numerals
A finite sequence has a beginning and an end, whereas an infinite sequence has no end.
Yes, that's what a geometric sequence is about.