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Olegator [25]
3 years ago
14

What is the explicit formula for this sequence? -6, -2, 2, 6, 10,....

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

4n-10

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

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2 years ago
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
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Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

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Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

where  represents length,  represents width and  represents height of the prism.

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