6, ?, 4, 2 find the missing term of the Fibonacci style sequence

Mathematics

1 answer:

gogolik [260]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

The Fibonacci Sequence is the series of numbers where the next number is found by adding up the two numbers before it.

Therefore, 6 + ? = 4

⇒ ? = 4 - 6

⇒ ? = -2

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Second, subtract '29 - 11' to get '18'.
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Third, since we are solving for f, we have to get it by itself. Multiply each side by 'f'.
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Fourth, once again, we need to get 'f' alone. Divide both sides by 18.
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Fifth, now that we have 'f' by itself, we can simplify the current fraction. To do so, we need to start off with listing the factors of 4 and 18 and find the greatest common factor (GCF).

Factors of 4: 1, 2, 4
Factors of 18: 1, 2, 3, 6, 9, 18

Out of the listed factors, 1 and 2 are the common factors, and since 2 is the highest number out of them, it is considered the greatest common factor. The GCF is 2.

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Seventh, we can now rewrite our fraction in simplest form and switch sides.
$f = \frac{2}{9}$

Answer in fraction form: $\fbox {2/9}$
Answer in decimal form: $\fbox {0.2222}$

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