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.
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Answer:
4.8 feet
Step-by-step explanation:
Answer:
150 units
Step-by-step explanation:
first, find 1 square
5 x 5 = 25
there are 6 total squares so 25 x 6 = 150
So the surface area should be 150 units
<h3>Answer:</h3>
3. R(x) = 25,500 -720x -12x²
<h3>Explanation:</h3>
Starting from 340 tickets, the number of tickets increases by 4 for each unit change in x. Hence, tickets sold will be (340 +4x).
Starting from $75, price per ticket decreases by $3 for each unit change in x. Hence ticket price is (75 -3x).
Revenue from ticket sales is the product of the number of tickets and the price at which they are sold:
... R(x) = (340 +4x)·(75 -3x)
... R(x) = 25,500 -720x -12x² . . . . . matches the 3rd choice