Is the sequence -24, -12, 0 a geometric sequence?

Question

↳Redirected from "What is the concentration of pure water at #298*K# given a #"density"# of #1.00*g*mL^-1#?"

2253 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-10T06:31:25

No, since there is no common ratio maintained across the sequence, the given sequence isn't geometric.

The sequence given is:
#-24, -12 , 0#

To check if a sequence is a geometric sequence we calculate the common ratio #r# (which is a constant ratio maintained throughout the sequence).

#r# is obtained by dividing a term by its preceding term:

1) #r_1 = (-12)/-24=1/2#

2) #r_2 = 0/-12 = 0#

Clearly, #1/2 != 0#

For this sequence the ratios # r_1 != r_2# so the sequence is not a geometric sequence.