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aksik [14]
3 years ago
14

Enter a recursive rule for the geometric sequence.

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

x_{n} = 5 \ * \ (-2)^{n-1}

Step-by-step explanation:

Given the geometric sequence:

5, −10, 20, −40, ...

The first term is a = 5  

And the common ratio = r = -10/5 = -2

The general rule of geometric sequence is

x_{n} = a \ * \ r^{n-1}

So, the rule for the given geometric sequence is:

x_{n} = 5 \ * \ (-2)^{n-1}

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There were 200,000 animals of a certain species in 1980. Since then,this number has decreased by 4.5% each year. Approximately h
g100num [7]

Answer: Approximately 25187 animals of this species will be left in 2025

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the population of animals after x years.

x represents the number of years.

b represents the initial population of animals.

r represents rate of decay.

From the information given,

b = 200000

r = 4.5% = 4.5/100 = 0.045

x = 2025 - 1980 = 45 years

Therefore,

y = 200000(1 - 0.045)^45

y = 200000(0.955)^45

y = 25187

8 0
3 years ago
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Answer:

A. Total fuel, in cubic feet, supplied by the two tankers in one trip.

Step-by-step explanation:

3 0
3 years ago
Just numbers 43-45 In the picture please!!
steposvetlana [31]
43) 50% of the time, Store A has 550 or more customers per day.
44) Distribution A appears to be skewed to the left with no outliers and a center at 500 customers. Distribution B appears to be Normal with no outliers and a center at 400 customers. 
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7 0
2 years ago
3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?
raketka [301]
262.5 miles
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5 0
3 years ago
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<img src="https://tex.z-dn.net/?f=5x%20%2B%209%20%20%3D%203x%20%2B%201" id="TexFormula1" title="5x + 9 = 3x + 1" alt="5x + 9 =
marissa [1.9K]

Answer:

x = -4

Step-by-step explanation:

Take out 3x from both sides:

5x - 3x    =    3x - 3x

2x           =   0

2x + 9 = 1

Take out 9 from both sides:

9 - 9             =       1 - 9

0                  =      -8

Divide 2 from both sides:

\frac{2x}{2} = \frac{-8}{2}

x = -4

6 0
2 years ago
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