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3 years ago

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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Remove absolute bracket

$1.6 = 2.8a + 6.4$

Collect like terms

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$2.8a =- 4.8$

Solve for a

$a =-\frac{4.8}{2.8}$

Simplify

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Hence, the equation of the path is: $y =- \frac{12}7|x- 4.8| + 6.4$

See attachment for graph that models the path

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<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

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