Answer :
The sequence –3.2, 4.8, –7.2, 10.8, … is a geometric sequence with a common ratio of -1.5 option (C) the terms have a common ratio of –1.5 is correct.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
–3.2, 4.8, –7.2, 10.8, …
As we know,
In the arithmetic sequence, there will be a common difference.
In the geometric sequence, there will be a common ratio.
As we can see in the given sequence or progression:
The common ratio = second term/first term
The common ratio = (4.8)/(-3.2)
The common ratio = -1.5
The geometric sequence –3.2, 4.8, –7.2, 10.8, … follows a multiplication rule, and to get the successive terms to multiply by -1.5.
Thus, the sequence –3.2, 4.8, –7.2, 10.8, … is a geometric sequence with a common ratio of -1.5 option (C) the terms have a common ratio of –1.5 is correct.
Learn more about the sequence here:
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