SERIES AND SEQUENCES SERIES
Sequences can be pure arithmetic or geometric sequences.
There are sequences with random numbers, but mostly sequences have a definite pattern that is used to arrive at the terms of the sequence. Well, as the name implies, a sequence is an orderly arrangement of numbers.
It is amazing to see the works of great mathematicians like Cauchy and Weierstrauss as these genius men studied complex sequences and series with just paper and pen what many modern mathematicians cannot even think of attempting with computers and calculators. Mathematicians all over the world have been fascinated with the behavior of sequences and series. This article will differentiate between a series and a sequence to remove all doubts in the minds of readers. Students do not understand the difference between series and sequence and sometimes pay dearly with their marks being deducted when they use these terms incorrectly. Though the words series and sequence are common words of English language they find interesting application in mathematics where we encounter series and sequences.