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Elis [28]
3 years ago
8

Which pair of expressions is equivalent

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

12x+6 and 6(2x)+3(2)

Step-by-step explanation:

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Write a rule for the nth term of the arithmetic sequence described below.
belka [17]

Answer:

an = 115 + (n - 1) (-6)

a25 = - 29

Step-by-step explanation:

We use the definition for the nth term of an arithmetic sequence:

an = a1 + (n - 1) d

a5 = 91 = a1 + (5 - 1) d

91 = a1 + 4 d

a20 = 1 = a1 + (20 - 1) d = a1 + 19 d

1 = a1 + 19 d

now we subtract term by term one expression from the other

90 = 4 d - 19 d

90 = - 15 d

divide both sides by -15 to isolate d

d = 90 / (-15) = -6

Now we can calculate what a1 is using for example:

1 = a1 + 19 d

1 = a1 - 114

add 114 to both sides:

115 = a1

Then our general expression for the sequence is:

an = 115 + (n - 1) (-6)

We can now use it to calculate the value of a25:

a25 = 115 + (24) * (-6) = -29

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3 years ago
Order this fraction from largest to smallest<br> 1/4, 1/2, 1/5, 1/3, 1/6
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