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Black_prince [1.1K]
3 years ago
6

What is the next term in the geometric sequence? 54,36,24

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
I think 16...............
vodomira [7]3 years ago
7 0

Answer: 16

Step-by-step explanation:

The formular for calculating the nth term of a geometric progression is arⁿ⁻¹

WHERE a= first term, r = common ratio and n= number of term

a = 54

since we are looking for the fourth term n = 4

To get our common ratio; we simply divide a number by its preceding number

r = 36/54 = 2/3

our fourth term is;

Tn = arⁿ⁻¹

T₄ = 54 (2/3)⁴⁻¹

= 54 (2/3)³

=54(8/27)

= 432/27

=16

Therefore the next term is 16

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Answer:

<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>

Step-by-step explanation:

f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8

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3 years ago
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Step-by-step explanation:

divide the denominators

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2 years ago
Whats the asnwer for this question?
sergij07 [2.7K]

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C

Step-by-step explanation:

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A pound of rice crackers costs $2.88. Matthew purchased 1/4 pound of crackers. How much did he pay for crackers?
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If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB
Dmitriy789 [7]

Answer: AD/CD = 2/5

Explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

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From the information given,

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4 0
1 year ago
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