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Sagot :
Using a geometric sequence, it is found that:
- 2048 flakes fell during the 12th minute.
- 8,388,608 flakes fell during the 24th minute.
What is a geometric sequence?
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
On the first minute, one flake fell. On the second minute, two flakes fell. On the third minute, four flakes fell(3 + 1). On the fourth minute, eight flakes fell(1 + 2 + 4 + 1). Hence the first term and the common ratio of the sequence are given by:
[tex]a_1 = 1, q = 2[/tex].
And the amount of flakes that fell in the minute n is:
[tex]a_n = 2^{n-1}[/tex]
In the 12th minute, the amount is given by:
[tex]a_{12} = 2^{12-1} = 2048[/tex]
In the 24th minute, the amount is given by:
[tex]a_{24} = 2^{24-1} = 8388608[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
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