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4 years ago

Which of the following sequences of numbers are arithmetic sequences?

1 answer:

5 0

Answer: B, C, E

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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.

Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.

Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.

Choice C) 154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.

Choice D) 1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
The difference is not constant, so it is not an arithmetic sequence.

Choice E) -3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
The difference is constant, so it is an arithmetic sequence.

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Can someone please solve this problem for me?

statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

$x *(x+2)=35$

Expanding, you get:

$x^{2}+2x = 35.$

And moving the 35 to the other side, you get a simple quadratic.

$x^{2}+2x -35 =0.$

Solving by factoring:

$(x+7)(x-5)$

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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3 years ago

What is the expression for the “sum of 8 times a number and two”?

m_a_m_a [10]

Hey!

Let's simplify the expression

sum = +
- The term "sum" is used when adding. Therefore, it is equal to "+".

8 times a number and 2 = 8x + 2
- 8 is equal to 8. The term "times" is used when multiplying. Therefore, it is equal to "×". "A number" is a variable. A variable can be any letter. In this case, I have made it "x", which is commonly used.

That gives you: 8x + 2

$\framebox{8x + 2}$

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3 years ago

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Ahat [919]

Answer:

Step-by-step explanation:

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3 years ago

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Answer: No it is not.

Step-by-step explanation:

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