Geometric and Exponential Sequences are the Same

A geometric sequence is any sequence such that the nth term is of the form  
  is the first term and  
  is the ratio of successive terms, called the common ratio.
An exponential sequence is a sequence of the form  
\[A, \; k\]
  are constants.
We can write  
  which is a geometric sequence with first term  
  and common ratio  

Hence geometric and exponential sequences are the same thing, and so are exponential growth and geometric growth.

Add comment

Security code