Respuesta :

Answer:

Yes

Step-by-step explanation:

For GP, Tn = ar^(n-1), where a = first term and r = common ratio, again,

r = Tn/Tn-1

All we will do is to verify

if T2/T1 = T3/T2

 192/256 = 144/192

 0.75       =  0.75


Conclusion:

 As T2/T1 = T3/T2 which is 0.75  =  0.75, therefore, It is a Geometric Progression (GP)

 

fichoh

Using the concept of common ratio in a geometric series, we can conclude that the sequence of values is a geometric series.

The common ratio , r is defined as :

r2 / r1 = r3/r2......

From the sequence;

r1 = 256 ; r2 = 192 ; r3 = 144

192 / 256 = 144 / 192

0.75 = 0.75

Since, the values are equal, then the sequence exhibit a common ratio and can be described as a geometric sequence.

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