225k views
2 votes
Find the common ratio. Write the answer in lowest terms. 8+12+18+27+...

User Gwinn
by
5.9k points

1 Answer

2 votes

Answer:


r=(3)/(2)

Explanation:

Consider the sequance


a_1=8\\ \\a_2=12\\ \\a_3=18\\ \\a_4=27\\ \\...

Note that


(a_2)/(a_1)=(12)/(8)=(3)/(2)\\ \\ \\(a_3)/(a_2)=(18)/(12)=(3)/(2)\\ \\ \\(a_4)/(a_3)=(27)/(18)=(3)/(2)\\ \\...

So, common ratio is


r=(3)/(2)=1(1)/(2)

User Pankaj Ghadge
by
5.4k points