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expeople1 [14]
3 years ago
9

Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.

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What is 2 1/6 - 3 4/9?
vodomira [7]
To solve the question, first factorize both fraction,which makes:

2 1/6 - 3 4/9
= 2/6 - 12/9
= 1/3-4/3
= -3/3
= -1

Hope ot helps!
8 0
3 years ago
Please solve, thank you (and show steps):<br><br>Solve for x:<br><br>5x + 22 = 27​
IrinaVladis [17]
Given the equation, 5x + 22 = 27:

The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.

Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
5x + 0 = 5
5x = 5


Next, divide both sides by 5 to isolate and solve for the value of x:

5x/5 = 5/5

x = 1

In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:

5x + 22 = 27

5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).

Therefore, the correct answer is x = 1.
6 0
2 years ago
Read 2 more answers
What is the domain of the function below?
skad [1K]

Answer:

A. {-9, -4, -1}

Step-by-step explanation:

Every number on the f(x) side is the domain which is the input numbers.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

6 0
3 years ago
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Solving a Multi-Step Equation
VLD [36.1K]

Answer:

x = 15

Step-by-step explanation:

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5 0
3 years ago
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Which value is equivalent to: 1 1/2 divided by 4 1/2 x 1 1/3
Nostrana [21]

Answer:

The answer is 4/9

Step-by-step explanation:

Hi. Here's the work.

First turn everything into an improper fraction.

1 \frac{1}{2} ÷ 4 \frac{1}{2} * 1 \frac{1}{3} = \frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3}

To divide fractions we multiply by the flipped version of the fraction, or the reciprocal.

\frac{3}{2} ÷ \frac{9}{2} * \frac{4}{3} = \frac{3}{2} *\frac{2}{9} *\frac{4}{3}

Now we just multiply the fractions!

\frac{3 * 2 * 4}{2 * 9 * 3} = \frac{4}{9}

The answer is therefore 4/9. Please mark brainliest if possible and i hope you get a good grade on your homework. ;)

6 0
2 years ago
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