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Ksivusya [100]
3 years ago
15

Which situation is best met through long-term saving?

Mathematics
1 answer:
Masja [62]3 years ago
7 0
An unexpected medical bill I’m pretty sure
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Find the first four terms of the sequence<br> An=2a n-1,where a1=3
yKpoI14uk [10]

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence a_{n}=2a_{n-1}

where a_{1}=3 to find them do that

  • Substitute n by 2 in the rule to find a_{2}
  • Substitute n by 3 in the rule to find a_{3}
  • Substitute n by 4 in the rule to find a_{4}

∵ a_{n}=2a_{n-1}

- Substitute n by 2 to find the 2nd term

∴ a_{2}=2a_{2-1}

∴ a_{2}=2a_{1}

∵ a_{1}=3

∴ a_{2}=2(3)

∴ a_{2}=6

- Substitute n by 3 to find the 3rd term

∴ a_{3}=2a_{3-1}

∴ a_{3}=2a_{2}

∵ a_{2}=6

∴ a_{3}=2(6)

∴ a_{3}=12

- Substitute n by 4 to find the 4th term

∴ a_{4}=2a_{4-1}

∴ a_{4}=2a_{3}

∵ a_{3}=12

∴ a_{4}=2(12)

∴ a_{4}=24

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

3 0
3 years ago
James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream in the same amount of time that he can t
nekit [7.7K]

Answer: the speed of the current is 0.6 mph

Step-by-step explanation:

Let x represent the speed of the current.

James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)

Time = distance/speed

Time taken to travel downstream is

6/(3 + x)

In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is

4/(3 - x)

Since the time is the same, then

6/(3 + x) = 4/(3 - x)

Cross multiplying, it becomes

6(3 - x) = 4(3 + x)

18 - 6x = 12 + 4x

4x + 6x = 18 - 12

10x = 6

x = 6/10

x = 0.6 mph

4 0
3 years ago
Write g-12 in words
larisa [96]
I'm guessing you are looking for an algebraic sentence. In that case, 12 less than g would make sense, or 12 subtracted from g
8 0
3 years ago
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
kramer

Answer:

63 m²

Step-by-step explanation:

The diagram shows a parallelogram.

Area

= 9 x 7

= 63 m²

7 0
3 years ago
Which quadrants does the line representing the equation y = 6x pass through?
Maslowich
1,3 should be the coordinates. I believe from the graph that has been given in the question
7 0
3 years ago
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