How do you tell whether the sequence -6, -2, -2/3, -2/9, -2/27−6,−2,−23,−29,−227 is geometric?
1 Answer
May 3, 2017
see explanation.
Explanation:
"the terms of a geometric sequence are"the terms of a geometric sequence are
a,ar,ar^2,ar^3, .... ,ar^(n-1)
"where r is the common ratio and"
r=(a_2)/(a_1)=(a_3)/(a_2)= .... =(a_n)/(a_(n-1))
" check r is common to the terms in this sequence"
(a_2)/(a_1)=(-2)/(-6)=1/3
(a_3)/(a_2)=(-2/3)/(-2)=1/3
(a_4)/(a_3)=(-2/9)/(-2/3)=1/3
rArr" sequence is geometric"
