Find the common ratio for the following geometric sequence? 0.75, 1.5, 3, 6, . . .

3
1.5
2
0.75

2 Answers
Apr 19, 2017

Answer:

#r = 2#

Explanation:

A geometric sequence can be written in the form:
#{a, a*r, a*r^2, a*r^3, ...a*r^(n-1),...}#, where #r# is the common ratio.

#r = 1.5/.75 = 3/1.5 = 6/3 = 2#

Check:
#{ .75, .75*2 = 1.5, .75*2^2 = 3, .75 *2^3 = 6, ...}#

Apr 19, 2017

Answer:

#r=2#

Explanation:

#"the standard geometric sequence is."#

#a, ar, ar^2, ar^3,........, ar^(n-1)#

#"where r is the common ratio"#

#r=(a_2)/(a_1)=(a_3)/(a_2)=...... =(a^n)/(a^(n-1))#

#rArrr=1.5/0.75=3/1.5=2#