Solution:
we have been asked to find the relationship between the successive terms in the sequence below? –3.2, 4.8, –7.2, 10.8, …
As we can see the given successive terms in the sequence is following a particular pattern as shown below:
[tex]\frac{4.8}{-3.2}=\frac{-7.2}{4.8}=\frac{10.8}{-7.2}=-1.5[/tex]
Its following properties of geometric sequence. Because the ratios of the successive terms is constant. So its a geometric progression.
Hence the given successive terms in the sequence is a geometric sequence.
