Successions and series

Successions and series

1. They are sequences of numbers

   • Arithmetic sequences
     • An arithmetic sequence will grow or decrease in each term
   • Recursive sequences
     • A sequence is recursive when there are elements that are defined by the elements that previse them.
   • Geometric sequences
     • In a geometric sequence, each term is the result of a previous term multiplied by a constant

2. Series

   • They are the summation of specific parts of a sequence.
     • Arithmetic series
     • Geometric series

3. Fibonacci sequence

   • the fibonacci sequence is a sequence in which each term is the result of the summation of the two previous terms.
     • This sequence is observed in many places, such as snail shells, the human ears and even on celestial bodies.