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Sagot :
Answer:
14.4
Step-by-step explanation:
the difference between 0.8 and 2.4 is 1.6
1.6 time 3 is 4.8
4.8 is the difference between 2.4 and 7.2
so 4.8 time 3 is 14.4
The next number in the given pattern 0.8, 2.4, 7.2, … will be 21.6.
What is geometrical progression series?
A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Given a series
0.8, 2.4, 7.2, …
If we divide any two consecutive numbers then
2.4/0.8 = 3
7.2/2.4 = 3
So it is clear that the given series is geometrical progression series.
Let's say the next term is x then
x/7.2 = 3
x = 21.6
Hence the next term will be 21.6.
For more information about the geometrical progression
brainly.com/question/4853032
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