hyperbolic series

Sequences and Series

Sequence is a succession of numbers formed according to some fixed rule. Example is

which is a sequence so that the n^th term is given by n³.
 

Series is the indicated sum of a sequence of numbers. Thus,

is the series corresponding to the sequence $a_1,~ a_2,~ a_3,~ ... ,~a_n,~ ...$
 

Finite and Infinite Series