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timama [110]
3 years ago
7

What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701?

Mathematics
1 answer:
Tema [17]3 years ago
4 0
Answer: The sum of the series is 2,548.

In a geometric series, the values are being multiplied by a constant rate. In this series, we are started at 7 and multiplying by 3.

Our series would be:
7   21   63   189   567   1701

If we add up those values, we have a total of 2,548.
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7/10 + 2/10 , 13/16+ 2/16 , 4/5 + 1/5 , 7/15 + 2/15 , 9/20 + 3/20 , 5/8 + 1/8 . All in simplist form.
blondinia [14]

Hello!

<h3><em><u>Answers</u></em></h3>

1. \frac{7}{10} + \frac{2}{10} = \frac{9}{10}  Simplest form: \frac{9}{10}

2. \frac{13}{16} + \frac{2}{16} = \frac{15}{16}  Simplest form: \frac{15}{16}

3. \frac{4}{5} + \frac{1}{5} = \frac{5}{5}  Simplest form: \frac{1}{1}

4. \frac{7}{15} + \frac{2}{15} = \frac{9}{15}  Simplest form: \frac{3}{5}

5. \frac{9}{20} + \frac{3}{20} = \frac{12}{20}  Simplest form: \frac{3}{5}

6. \frac{5}{8} + \frac{1}{8} = \frac{6}{8}  Simplest form: \frac{3}{4}

<h3><em><u>Explanation:</u></em></h3>

Simply add the numerators of the like fractions together. The denominators remain the same.

4 0
3 years ago
Help please very important
son4ous [18]
Domain is (-10, infinity) and range is negative infinity, positive infinity.
4 0
3 years ago
Q1: Explain how to convert a fraction into a decimal.
Elan Coil [88]

Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Multiply both top and bottom by that number.

Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
7 0
3 years ago
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How many digits are in the repeating pattern of the repeating decimal 1.666666…?
Marysya12 [62]

Answer: b865e95e

Step-by-step explanation:

4 0
3 years ago
Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass
Harman [31]

The solution would be like this for this specific problem:

Volume of a cylinder = pi * r^2 * h 

Volume of a cone = 1/3 * pi * r^2 * h 

Total Height = 47

Height of the cone = 12

Height of the cylinder = 35

If the top half is filled with sand, then:

volume (sand) = pi * 4^2 * 36

volume (cone) =  1/3 * pi * 4^2 * 12

Total volume = 1960.353816 cubic millimeters

353816 / (10 * pi) = 62.4 seconds.

It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.

7 0
3 years ago
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