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Keith_Richards [23]
3 years ago
15

The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to mode

l the same sequence?
Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

The explicit formula is Tn = 18[(2/3)^(n-1)]

Where n is the term we are looking for

Step-by-step explanation:

Here, we want to get an explicit formula to model the equation

Now, F(2) = 2/3 * f1 = 2/3 * 18 = 12

F(3) = 2/3 * f(2) = 2/3 * 12 = 8

F(4) = 2/3 * F(3) = 2/3 * 8 = 16/3

F(5) = 2/3 * 16/3 = 32/9

Thus, seeing how the equations are progressing, we can definitely see a pattern.

That is Tn = (2/3)^(n-1)(18)

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Answer:

its always wrong

Step-by-step explanation:

any variable always has a holder of 1

so 01b doesnt equal 4

6 0
3 years ago
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If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds
lapo4ka [179]

Answer: I got 7120 seconds

Step-by-step explanation:

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Hope this helps

3 0
3 years ago
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A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
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5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
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3 0
1 year ago
Year Number of Dropouts 1 7 2 8 3 6 4 6 5 6 6 4 7 4 8 1 9 2 10 7 11 6 12 1 13 1 14 1 15 3 16 3 17 5 18 4 19 5 20 7 The table giv
nadya68 [22]
Population mean = (7+8+6+6+6+4+4+1+2+7+6+1+1+1+3+3+5+4+5+7) / 20 = 87/20 = 4.35 <==

sample mean = (4+5+7) / 3 = 16/3 = 5.33 <==
6 0
3 years ago
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Is 3 to the negative 1 power times 3 to the negative 1 power equal to 3 to the 1 power?
iren2701 [21]
To make the exponent positive, make a fraction. 1/3 * 1/3. This is 0.1 repeating. 3^1 is 3. So the answer is no.
3 0
3 years ago
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