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2 years ago

The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

Mathematics

1 answer:

Annette [7]2 years ago

8 0

Answer:

B. 97.2

Step-by-step explanation:

The sequence of positive terms is ...

54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

S = 97.2

The sum of the positive terms in the infinite series is 97.2.

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Answer:

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3 years ago

Find the exact value of cos210 using the unit circle

Eduardwww [97]

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3 years ago

1. Find X A. 16.45 B. 15.92 C. 12 D. 11.5

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Answer:

A is your answer

Step-by-step explanation:

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3 years ago

Choose the system of inequalities that best matches the graph below.

lapo4ka [179]

Answer:

D) $y\:$ , $y\:>\:-x$

Step-by-step explanation:

The blue boundary line has a y-intercept of 2 and a slope of 2.

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Since the boundary line is not solid and the lower half plane of this line is shaded, its inequality is

$y\:$

The blue boundary line passes through the origin and has slope $-1$ .

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3 years ago

In the given triangle ABC, find DE. answers: 20 5 10 2.5

adell [148]

Answer:

Step-by-step explanation:

Let's call the length AD y.

$\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5$

Hope this helps!

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3 years ago