Find the common ratio of the geometric sequence 36, 6, 1, 16.... Write your answer as an integer or fraction in simplest form?

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Answer 1 · 2018-04-03T16:20:14

#color(blue)(1/6)#

If #a , b ,c# are in geometric sequence, then:

#b/a=c/b#

This gives the common ratio:

From:

#36,6,1,16...#

#6/36=1/6#

Reducing #6/36# to its lowest terms:

#(6/6)/(36/6)=1/6#:

#:.#

#b/a=c/b=>1/6=1/6#

So, the common ratio is #color(blue)(1/6)#