How do you determine whether the sequence #5, 1, 0.2, 0.04,...# is geometric and if it is, what is the common ratio?

1 Answer
Jul 31, 2017

Answer:

This is geometric progression and common raio is #0.2#

Explanation:

# 5 ,1, 0.2 ,0.04 :. a_1= 5 ; a_2=1, a_3=0.2 , a_4=0.04 ....#

For Geometric progression # a_2/a_1= a_3/a_2=a_4/a_3=# constant

Here # a_2/a_1=1/5=0.2 , a_3/a_2= 0.2/1= 0.2 # ,

#a_4/a_3=0.04/0.2=0.2# . This constant #(0.2)# is called common

ratio. This is geometric progression and common raio is #0.2# [Ans]