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Tema [17]
3 years ago
14

For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

All statements are true

Step-by-step explanation:

1. The statement S_{500}>S_{499} is true, because S_{499} is the sum of first 499 terms,  S_{500} is the sum of first 500 terms,  and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.

2. The statement S_{500}>a_{500} is true, because S_{500} is the sum of first 500 terms,  a_{500} is 500th term and the sum of 500 terms is greater than the 500th term.

3. The statement S_1=a_1 is true, because S_1 is the sum of first 1 term that is exactly  a_1.

All statements are true.

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Answer:

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Step-by-step explanation:

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2 years ago
One quart of water-resistant paint covers 75 square feet. A swimming pool is in the shape of a rectangular prism with a length o
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18.66 quarts of paint is needed to paint the swimming pool with two coats of paint

<em><u>Solution:</u></em>

Given that,

<em><u>A swimming pool is in the shape of a rectangular prism</u></em>

Length = 20 feet

Width = 10 feet

Height = 5 feet

<em><u>Find the surface area of prism</u></em>

A=2(wl+hl+hw)

Where, "l" is the length and "w" is the width and "h" is the height

A = 2(10 \times 20 + 5 \times 20 + 5 \times 10)\\\\A = 2(200+100+50)\\\\A = 2 \times 350\\\\A = 700

Thus surface area area of prism is 700 square feet

Given that,

One quart of water-resistant paint covers 75 square feet

Therefore,

1 quart paint = 75 square feet

x quart = 700 square feet

This forms a proportion

1 \times 700 = 75 \times x\\\\x = \frac{700}{75}\\\\x = 9.33

Thus 9.33 quarts of paint is needed to cover 700 square feet

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Step-by-step explanation:

100% correct

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Step-by-step explanation:

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