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Juli2301 [7.4K]
3 years ago
8

The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

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A cylinder has a height of 7 in. and a diameter of 6 in. What is the volume of the cylinder to the nearest cubic inch? V = 66 in
Natalija [7]

Answer:

The answer is

<h2>V = 198 in³</h2>

Step-by-step explanation:

Volume of a cylinder = πr²h

where

h is the height

r is the radius

From the question

h = 7 in

To calculate the radius from the diameter we use the formula

radius = diameter/2

From the question

diameter = 6

radius = 6/2 = 3 in

Volume of the cylinder is

(3)²(7)π

= 9(7)π

= 63π

= 197.9203

We have the final answer as

<h3>V = 198 in³ to the nearest cubic inch</h3>

Hope this helps you

6 0
3 years ago
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jeyben [28]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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netineya [11]

Answer:

Y' = 360ex+ 30e

Step-by-step explanation:

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6 0
3 years ago
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sleet_krkn [62]
Answer:

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reason:

first, add 3 to both sides
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3 0
3 years ago
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mr_godi [17]
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6 0
3 years ago
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