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Natalija [7]
3 years ago
5

For the geometric sequence 3, 6, 12..., find the 13th term and state the common ratio of the sequence​

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Common ratio, is r=6/3=12/6=2

Answer: common ratio 2

First term a₁ = 3

nth term  aₙ = a₁rⁿ⁻¹ = 3 (2ⁿ⁻¹)

13th term = 3(2¹²) = 12288

Answer: 13th term is 12,288

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A piece of hardware is constructed by drilling a cylindrical hole
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The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.

<h3>What is a cylinder and a square prism?</h3>

A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.

The volume of a square prism is expressed as;

V = a²h

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Given the data in the question and image below.

For the square prism;

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For the cylinder;

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  • Constant pi π = 3.14

Now, the volume of tthe remaining material once the hole has been drilled will be;

V = Volume of the square prism - volume of the cylinderical hole

V = ( a² ×  h ) - ( π × r² × h)

V = ( (20mm)² ×  35mm ) - ( 3.14 × (10mm)² × 35mm)

V = 14000mm³ - 10990mm³

V = 3010mm³

Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

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5 times the sum of x and 6
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You would start out with multiplying giving you 5(x+6). then you would have a product of 5x+30. hoped this helped!
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