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2 years ago

-2/3,1/3,-1/6,1/12 Use inductive reasoning to predict the next term in the sequence

Mathematics

1 answer:

Marianna [84]2 years ago

4 0

Answer:

- 1/24

Step-by-step explanation:

Keep multiplying by -1/2 to find the 'next' term

1/12 * - 1/2 = - 1/24

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12/126 to reduced simplest form

guapka [62]

$\frac{12}{126}$ in simplest form:

First, we can start off by finding the greatest common factor (GCF) of the numerator and the denominator. To do this, we list the factors of each two numbers till we find the common factor that is the greatest.

Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Looking at the listed factors of the two numbers, which numbers are the common ones? The common factors are 1, 2, 3, and 6. We are looking for the GREATEST common factor, so out of those four numbers, which is the greatest? It is 6, so the GCF is 6.

Second, we can now divide the numerator and the denominator by the GCF (6).

$12 \div 6 = 2 \\ 126 \div 6 = 21$

Third, now we can revise our fraction in the simplified form, which we got from dividing above.

Fraction form: $\fbox {2/21}$
Decimal form: $\fbox {0.0952}$

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777dan777 [17]

The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.

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x-intercept:

15x + 0 = 1,100

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Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line.

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LenaWriter [7]

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