How do you write the next three terms of the geometric sequence #54/25, 18/5, 6, 10, ...# and graph the sequence?

1 Answer
Dec 3, 2017

Answer:

Next three terms are #50/3,250/9,1250/27#

Explanation:

Geometric sequence series is #{54/25,18/5,6,10...}#

First term #a_1=54/25 # , common ratio : #r= (18/5)-:(54/25)# or

#r= 18/5*25/54=5/3 ; a_n=a_1* r^(n-1):. a_5= 54/25*(5/3)^4# or

#a_5= 54/25*625/81=50/3 ; a_6= 50/3*5/3=250/9# and

#a_7= 250/9*5/3=1250/27# .Next three terms are

#50/3,250/9,1250/27#

graph{54/25*(5/3)^(x-1) [-17.78, 17.78, -8.89, 8.89]}