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Lelechka [254]
3 years ago
15

1.2, 3, 7.5, 18.75, ... Which formula can be used to describe the sequence?

Mathematics
2 answers:
Nady [450]3 years ago
5 0

Answer:

The formula is:

a_n=1.2(\frac{5}{2})^{n-1}

Step-by-step explanation:

The geometric sequences are those in which the division between the terms a_{n + 1} and a_n of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

a_n=a_1(r)^{n-1}

Where a_1 is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}

Then:

r=\frac{5}{2}  and a_1=1.2

Finally the formula is:

a_n=1.2(\frac{5}{2})^{n-1}

Klio2033 [76]3 years ago
5 0

Answer:

Answer: "f(x) = 1.2(2.5)x-1"

Step-by-step explanation:

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