Which function describes the arithmetic sequence shown? 17, 13, 19, 25, 31,

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

The number by which every pair of adjacent numbers here differs is called the "common difference." The difference between 19 and 25 is 6.

The formula for this arithmetic sequence is a(n) = a(0) + (n-1)d, where a(0) is the first term and d is the common difference.

Here the first term is 17 and the common difference is 6.

Therefore, a(n) = 17 + 6(n-1)

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How much cardboard is needed to make the tissue box above? Square inches 8 3 3

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The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

<h3>What is the surface area of cuboid?</h3>

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

$S = 2(a\times b + b\times c + c\times a)$

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= $2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2$