# How do you find the common ratio for 1.512, 7.56, 37.8, 189, 945, ...?

##### 1 Answer

May 24, 2018

#### Explanation:

#"a geometric sequence is defined by having a common "#

#"ratio (r) between consecutive terms in the sequence"#

#r=a_2/a_1=a_3/a_2=...... =a_n/a_(n-1)#

#"here "a_2/a_1=7.56/1.512=5#

#a_3/a_2=37.8/7.56=5#

#a_4/a_3=189/37.8=5#

#a_5/a_4=945/189=5#

#"common ratio r "=5#