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diamong [38]
3 years ago
12

A geometric sequence has an initial value of 2 and a common ratio of 3. Which formula would be more practical to use if you were

looking find the value of the 19th number in the sequence?
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

19th term = ar^18

19th term = 774,840,978

Step-by-step explanation:

First term, a = 2

Common ratio, r = 3

nth term of a geometric sequence = ar^(n-1)

19th term = ar^(19-1)

19th term = ar^18

= 2 × 3^18

= 2 × 387,420,489

= 774,840,978

19th term = 774,840,978

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Could someone explain this?
77julia77 [94]

9514 1404 393

Answer:

  2

Step-by-step explanation:

The curve's highest value is -1.

The curve's lowest value is -5.

For a symmetrical wave like this*, the amplitude is half the difference between the highest and lowest values:

  1/2(-1 -(-5)) = 2

The amplitude is 2.

_____

* There is no general agreement as to how to compute the amplitude when the wave is asymmetrical. Some authors use the same formula. Some consider the amplitude to be the maximum deviation from average. Some define only a "peak-to-peak" amplitude in those cases. The meaning of "amplitude" in those cases depends on the context in which the question is asked.

8 0
3 years ago
Greenfields is a mail order seed and plant business. The size of orders is uniformly distributed over the interval from $25 to $
LekaFEV [45]

Answer:

a) 47.55

b) 58

c) 47.88

Step-by-step explanation:

Given that the size of the orders is uniformly distributed over the interval

$25 ( a ) to $80 ( b )

<u>a) Determine the value for the first order size generated based on 0.41</u>

parameter for normal distribution is given as ;  a = 25,  b = 80

size/value of order  = a + random number ( b - a )

                                = 25 + 0.41 ( 80 - 25 )

                                =  47.55

<u>b) Value of the last order generated based on random number (0.6)</u>

= a + random number ( b - a )

= 25 + 0.6 ( 80 - 25 )

= 25 + 33 = 58

<u>c) Average order size </u>

= ∑ order 1 + order 2 + ----- + order 10  ) / 10

= (47.55 + ...... + 58 ) / 10

= 478.8 / 10 = 47.88

4 0
3 years ago
Please help me on this question. 20 points guaranteed!!
julsineya [31]

Answer:

A cylinder with a volume of 27\pi cubic inches and a height of 3 inches

Step-by-step explanation:

  • Volume of a cylinder = \pir²h
    (where r is the radius and h is the height)

Volume = 27\pi

Height = 3

⇒ 27\pi = 3\pir²

⇒ 9 = r²

⇒ r = √9 = 3

So height = radius

7 0
2 years ago
(2y-at)(y+2at) find the product
Fynjy0 [20]
(2y-at)(y+2at)


Answer: <span><span><span>−<span><span>2<span>a^2</span></span><span>t^2</span></span></span>+<span><span><span>3a</span>t</span>y</span></span>+<span>2<span>y^<span>2

I hope this helps</span></span></span></span>
6 0
3 years ago
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(x ^ 2 - 4x + 7)(2x - 2)
Marat540 [252]
Simplify the expression.

2x^3-10x^2+22x-14
3 0
3 years ago
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