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Simora [160]
3 years ago
9

Find the first term of the following geometric sequence ----,42,126,378,1,134

Mathematics
1 answer:
sergey [27]3 years ago
8 0
Since it is a geometric sequence each term will be a specific multiple of the term preceding it, called the common ratio...

126/42=378/126=1134/378=3

The sequence is a(n)=a(3)^(n-1) and we know the second term is 42 so:

42=a(3)^(2-1)

42=3a

a=14

So the first term is 14.
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Half of your baseball card collection got wet and was ruined. you bought 14 cards to replace some that were lost.how many did yo
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Because you added 14 cards to your collection, we'll have to subtract that:

40 - 14 = 26

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4 0
2 years ago
The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee
adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

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x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

4 0
2 years ago
Solve for X. Plz I can't figure it outtt!
WINSTONCH [101]

9514 1404 393

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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Answer:

A

Step-by-step explanation:

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3 years ago
What shape will be created after the rotation?
castortr0y [4]
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