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Talja [164]
3 years ago
11

Write the equation of the arithmetic and geometricsequences given 15, 5, ...

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Step-by-step explanation:

Arithmetic:

a(n) = a +(n-1)d

a=15

d=5-15=-10

°.° a(n) = 15 +(n–1)-10

Geometric​:

a(n)=a*r^(n-1)

a=15

r=5/15=1/3

a(n)=15*(1/3)^(n-1)

hope this helps

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Answer:

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Step-by-step explanation:

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street
Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He  has a height of 5.6 ft  and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

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The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

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divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx
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Step-by-step explanation:

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