Sequences and series

Sequences and series

1. Sequences

   • Definition
     • Geometric
       • As a definition we can say that a geometric sequences is when a term or element is equal to the previous one, but divide or multiple by a constant.
     • Arithmetic
       • An arithmetic sequence is when a term or element of the sequence is equal to the previous one but added or subtracted by a constant.
     • A sequence is a string of number or objects that fallow a specific patter.
       • It can be define as function f(x), where a partial sum is the sum of the "n" terms of a sequence
         • They are call according to the number of terms that are added
         • We use sigma symbol to express the partial sum

2. Series

   • Definition
     • An infinite geometric serie is he sum of an infinite geometric sequence.
     • Covergent
       • In definition a covergent serie is when the sequence has a limit and that sequence converge to the limit.
     • Divergent
       • The divergent ones have two way, the first is when it goes to the infinite or minus infinite; the second is when it oscillate between two values.

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