Evidence is found that Babylonians, some 4000 year ago, knew of arithmetic and geometric sequences. According to Boethius(510), arithmetic and geometric sequences were known to early Greek writer. Among the Indian mathematician, Aryabhatta (476 was the first to give the formula for the sum of squares and cubes of natural number in his famous work Aryabhatiyam, written around 499. He also gave the formula for finding the sum to n terms of an arithmetic sequence starting with Pth term. Noted Indian mathematicians Brahmgupta (598), Mahavira (850) and bhaskara (1114-1185) also considered the sum of squares and cubes. Another specific type of sequence having important applications in mathematics, called Fibonacci sequence, was discovered by Italian mathematician Leonardo Fibonacci (1170-1250). Seventeenth century witnessed the classification of series into specific forms. In 1671 James Gregory used the term infinite series in connection with infinitic sequence. It was only through the rigorous development of algebraic and set theoretic tools that the concepts related to sequence and series could formulated suitably....
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