Question

For the following exercises, write the first five terms of the geometric sequence, given the first term and common ratio. a1 = 5, r = 1/5

Answer 1

Given:

First term = 5

Common Ratio = 1/5

 

Second Term = (First Term)*(Common Ratio)

                          = 5*(1/5)

                         = 1

 

Third Term = (Second Term)*(Common Ratio) 

                      = (1)*(1/5) 

                      = 1/5

 

Forth Term = (Third Term)*(Common Ratio) 

                       = (1/5)*(1/5) 

                       = 1/25

 

Fifth Term = (Forth Term)*(Common Ratio) 

                     = (1/25)*(1/5) 

                     = 1/125

Second Term = 1

 

Third Term = 1/5

 

Forth Term = 1/25

 

Fifth Term = 1/125