sequence & series

Sequence :

It is a function of a natural numbers .

Sequence may be finite or infinite depends on number of terms.

A Sequence is defined as some objects are arranged in a particular fashion.

Example :

     1, 2,3,4, ……..

     2 , 4 , 6 , 8 ,  …….

     81 , 27  , 9  ,  …….

Series :

   In sequence –  add or subtract terms in the sequence then we get a series.

Series may be finite or infinite depends on number of terms.

Example :

     1+2+3+4+ ……..

     2 + 4 + 6 + 8+ …….

     81 – 27 + 9 – …….

Types of Sequence :

  1. Arithmetic progression(A.P)

  2. Geometric progression(G.P)

  3. Harmonic progression(H.P)

  4. Fibonacci number