Answered

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Which formula can be used to describe the sequence? f(x) = 1.2(2.5)x – 1 f(x) = 2.5(1.2)x – 1 f(x) = 1.2(2.5)x f(x) = 2.5(1.2)x

Sagot :

The formula which used to describe the sequence is f(x)=1.2(2.5)ˣ⁻¹.

The given sequence is 1.2,3,7.5,18.75.

In geometric series, the ratio of two consecutive terms remains the same and this ratio is known as common ratio. a₁ is the first term of a geometric sequence and r is the common ratio, then the general term of the geometric sequence is of the form:

f(x)=a₁⋅rˣ⁻¹.

In the given sequence, a₁=1.2, a₂=3, a₃=7.5 and a₄=18.75.

Find the common ratio by

r=(aₙ₊₁)÷aₙ

r=a₂÷a₁

r=3÷1.2

r=2.5

Substitute the values in the general formula of geometric sequence.

f(x)=(1.2)(2.5)ˣ⁻¹

Hence, the formula which used to describe the sequence 1.2,3,7.5,18.75 is f(x)=(1.2)(2.5)ˣ⁻¹.

Learn more about Geometric Sequence from here brainly.com/question/1509142

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