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Genrish500 [490]
3 years ago
9

2; 4; 6; 8; ...

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
I hope that I can help you:)

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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

7 0
3 years ago
Help me out please need them by tomorrow, answer any question you know just put the number so I can know what question you answe
Rasek [7]

Answer:

7. 69

Step-by-step explanation:

6x+3(x-7) when x=10

6(10)+3(10)-21

60+30-21

90-21

69

8 0
4 years ago
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Which equation has the solution x = 12?
Hoochie [10]

Answer:

D). last one

Step-by-step explanation:

a. 4x+3=45

4x=42

x=10.5 (incorrect)

b. 5x-8=68

5x=76

x=25.2 (incorrect)

c. 2x-5=29

2x=34

x=17 (incorrect)

d. 3x+6=42

3x=36

x=12

6 0
4 years ago
Find the circumference of the circle below*
MAXImum [283]

Answer:

138.92

MATH

MATH

7 0
4 years ago
Please help will give brainliest<br> And happy Halloween
kramer
Answer to the problem is s=0.6
3 0
3 years ago
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