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3 years ago

Determine whether each sequence is arithmetic. If so, identify the common difference.

Mathematics

1 answer:

-Dominant- [34]3 years ago

4 0

Answer:

Options 1 and 4 are arithmetic

Step-by-step explanation:

Arithmetic means that you are adding or subtracting a number in a sequence.

For option 1, we are adding 2 every time.

-3 + 2 = -1 -1 + 2 = 1 1 + 2 = 3

For option 4, we are subtracting 7 every time.

32 - 7 = 25 25 - 7 = 18 18 - 7 = 11

Option 2 is geometric. Geometric means you are multiplying or dividing by a number in a sequence.

2 * 3 = 6 6 * 3 = 18 18 * 3 = 54

Option 3 is actually quadratic. This is similar to a arithmetic, except instead, the amount added to the number is multiplied by 2 every time.

1 + 2 = 3 (2 + 2 = 4) 3 + 4 = 7 (4 + 4 = 8) 7 + 8 = 15

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Question:

Which fraction is equivalent to $\frac{2}{6}$ ?

- $\frac{3}{7}$ because $\frac{2}{6}= \frac{2 + 1}{6 + 1}$

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Answer:

- $\frac{3}{9}$ because $\frac{2}{6}= \frac{1}{3}$ and $\frac{1}{3} = \frac{3}{9}$

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

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