Sequence and Series

A sequence is a function f whose domain is the set of positive integers. The function value f(1), f(2), …, f(n) … are called the terms of the sequence which may be denoted respectively by f1, f2, f3, …, fn , …. The term fn is called the nth term of the sequence. If the domain, i.e., the set of positive integers consists of a finite number of elements only, the sequence is finite, otherwise the sequence is said to be infinite.

 If {fn} be a sequence, then an expression of the form f1 + f2 + f3 + …., is called an infinite series.

Some Solved Problems