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Cloud [144]
4 years ago
7

What - 31 equals to 213

Mathematics
1 answer:
Aneli [31]4 years ago
7 0

Answer:

-31+224=213

Step-by-step explanation:

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If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?
Agata [3.3K]
<h3>Given</h3>

A geometric sequence such that ...

a_2=-2\quad\text{and}\quad a_5=16

<h3>Find</h3>

a_{14}

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192

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3 years ago
You have a credit card that has a balance of $3,589.90 and a credit limit of $5,000. If you have a good credit rating, how much
Maslowich

Answer:

maybe $1107.55

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Step-by-step explanation:

8 0
3 years ago
F – 6 = -2f + 3(f – 2) show your work please
Evgen [1.6K]

f - 6 = -2f + 3(f - 2)

f - 6 = -2f + 3f - 6

f + 2f - 3f = -6 + 6

0 = 0

Every number is solution this equation.

8 0
3 years ago
(4,15) <br> (8,9) find the slope
alexgriva [62]

Answer:  The slope is -3/2

Step-by-step explanation:

To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates.

y coordinates;   9 - 15 = -6

x coordinates : 8 - 4 = 4  

Slope:     -6/4  =   -3/2

8 0
3 years ago
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Each of 15 students will give a 1 1/2 minute speech in English class. Suppose the teacher begins recording on a digital camera w
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8 1/2 1 1/2•15 =45/2 =22 1/2+15=37 1/2+15=52 1/2 60-52 1/2= 8 1/2 minutes
5 0
3 years ago
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