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Salsk061 [2.6K]
1 year ago
14

What is the explict formula for this sequence 5, 10, 20, 40, 80, 160, ...

Mathematics
2 answers:
serg [7]1 year ago
4 0

Answer:

a_{n} = 5(2)^{n-1}

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

a_{n} = 5 (2)^{n-1}

Tcecarenko [31]1 year ago
3 0

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

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taurus [48]

Answer:

1.3

Step-by-step explanation:

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2 years ago
A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?
olganol [36]

Answer:

2) The domain would only include positive integers

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5 0
2 years ago
Neveah has created the function of f(x) = 2x+4/3 to represent the growth of her hair, where x represents the number of months si
Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months


3 0
3 years ago
Simplify ½of(3/5-1/4)​
liq [111]

Answer:

\frac{7}{40}

6 0
2 years ago
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3 years ago
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