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Karo-lina-s [1.5K]
2 years ago
5

What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

Mathematics
2 answers:
devlian [24]2 years ago
8 0

The answer would be C.

Luda [366]2 years ago
7 0

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

a_{n} = a r^{n-1}

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

\frac{ar^3}{ar} = \frac{54}{6} = 9

r² = 9 ⇒ r = \sqrt{9} = 3 → C

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A carpenter needs 9.3 feet of rope for a project. How much will the carpenter spend if the rope costs $3.82 per foot?
Vlada [557]

The carpenter spend 35.53 $ of rope for a project.

To find the cost of rope for a project.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

For a project carpenter needs 9.3 feet of rope.

Per foot of cost of the rope is $3.82.

So by calculation

1 foot of rope= $3.82.

9 foot of rope=9*3.82 $

9 foot of rope=35.53 $

So, the carpenter spend 35.53 $ of rope for a project.

Learn more about arithmetic here:

brainly.com/question/28189930

#SPJ1

Option is missing

O $35.53

O$44.84

O$45.84

O $355.30

6 0
1 year ago
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