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Archy [21]
2 years ago
5

Find the common difference of the arithmetic sequence. -2, -17 3 - 1 3 3 - 1 1/8,...

Mathematics
1 answer:
Luba_88 [7]2 years ago
4 0

Answer:

The common difference is -9 1/8

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference

Let

a_1=-2

a_2=-\frac{17}{3}-\frac{13}{3}-1\frac{1}{8}

a_2=-\frac{30}{3}-\frac{1*8+1}{8}

a_2=-10-\frac{9}{8}

a_2=-\frac{89}{8}

a_2-a_1=-\frac{89}{8}-(-2)=-\frac{89}{8}+2=-\frac{73}{8}=-9\frac{1}{8}

therefore

The common difference is -9 1/8

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A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
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3 years ago
5+3=4d please help me
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So the object of this problem is to find out the value of d.

To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.

No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

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2 years ago
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2 years ago
3x-4 or = to 7<br><br><br> plz help
lisabon 2012 [21]

Answer:

3 + 4 = 7  which is true.

Step-by-step explanation:

Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.

To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.

You also have to do the same to both sides, kind of like keeping a balance scale in balance.

In this case, we subtract 4 from both sides first:

3x + 4 -4 = 7 - 4

The + 4 - 4 cancel each other out, so you get:

3x = 3

3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:

3x / 3 = 3 /3  

so 1x = 1.

Since 1x is "1 times x" it is the same as x by itself, so:

x=1

AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):

3 * 1 + 4 = 7

3 * 1 is 3, so:

3 + 4 = 7     which is true.

1 is the only number that works.

Hope this helped.

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2 years ago
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