Arithmetic and Geometric Sequences

 


                   
A Sequence is a set of  numbers that are in order.

• In a Geometric Sequence each term is found by multiplying the previous term by a same number
  

  
• In an Arithmetic Sequence the difference between one term and the next is you just add the same value each time.

 

                     General Form of an Arithmetic Sequence

a_n = a₁ +(n - 1)

 

General Form of an Geometric Sequence

a_n = a₁·r^n-1d

 

d = the common difference

a<sub>1 = the first number in the sequence

n = the number of the place of the sequence you're trying to figure out</sub>