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Scrat [10]
3 years ago
11

Which is an infinite arithmetic sequence? a{10, 30, 90, 270, …} b{100, 200, 300, 400} c{150, 300, 450, 600, …} d{1, 2, 4, 8}

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

C

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Sequence a

30 - 10 = 20

90 - 30 = 60

270 - 90 = 180

This sequence is not arithmetic

Sequence b

200 - 100 = 100

300 - 200 = 100

400 - 300 = 100

This sequence is arithmetic but is finite, that is last term is 400

Sequence c

300 - 150 = 150

450 - 300 = 150

600 - 450 = 150

This sequence is arithmetic and infinite, indicated by ........ within set

Sequence d

2 - 1 = 1

4 - 2 = 2

8 - 4 = 4

This sequence is not arithmetic

Thus the infinite arithmetic sequence is sequence c

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Hope it helps : )
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Lyrx [107]

Answer:

745.31

Step-by-step explanation:

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What is the y intercept of the line whose equation is y = 1/2x - 3
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7 0
3 years ago
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1)what is the y-coordinate of the solution to the system of equations?
Fittoniya [83]
Ok so basically solve for y

x-y=12
27+3y=2x

27+3y=2x
subtract 3y from both sides
27=2x-3y
2x-3y=27

x-y=12
multiply by -2
-2x+2y=-24

add them
2x-3y=27
<u>-2x+2y=-24 +</u>
0x-1y=3

-y=3
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y coordinate is -3


2.
y=2x+14
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y=2x+14
subtract 2x from both sides
y-2x=14
mulitply both sides by -2
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add the 2 equations

-2y+4x=-28
<u /><u>-y-4x=4 +</u>
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-3y=-24
divide both sides by -3
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1. y coordinate is y=-3

2. y coordinate is y=8<u>
</u>
4 0
3 years ago
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