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timurjin [86]
4 years ago
15

A recursive formula for the sequence 18 9 4.5

Mathematics
1 answer:
grandymaker [24]4 years ago
7 0

Answer:

9 × (½)^(n-2)

Step-by-step explanation:

It's a Geometric sequence with:

First term: 18

Common ratio: 9/18 = ½

Nth term: 18 × (½)^(n-1)

9×2 × (½)^(n-1)

9 × (½^-1) × (½)^(n-1)

9 × (½)^(n-2)

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Please help me on this
Gre4nikov [31]

Answer: option a.

Step-by-step explanation:

Given the expression \sqrt{8^{17}}, you need to remember:

The Product of powers property:

a^m*a^n=a^{(m+n)}

The Power of a power property:

(a^m)^n=a^{mn}

And:

\sqrt[n]{a^n}=a

Therefore, as the index of the radical is 2, you can rewrite 8^{17} as:

8^{17}=8^{16}*8

Rewrite this and simplify. Then:

 =\sqrt{8^{17}}

=\sqrt{8^{16}*8}=\sqrt{8^{16}}\sqrt{8}=\sqrt{(8^{8})^2}\sqrt{8}=8^8\sqrt{8}

 

This matches with the option a.

3 0
3 years ago
Write each equation in exponential form.
vichka [17]

Answer:

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

Step-by-step explanation:

The exponential equation of  log_{b}(a)=c  is a=b^{c} , where b is the base, c is the exponent of b and a is the value of b^{c}

Ex: log_{2}(8)=3 , its exponential function is 2^{3}=8

Now let us solve the question

∵ log_{6}(216)=3

∴ The base is 6

∴ The exponent is 3

∴ The answer is 216

∴ The exponential equation is (6)³ = 216

The exponential form of equation  log_{6}(216)=3  is (6)³ = 216

7 0
3 years ago
Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]
Ivanshal [37]

Answer:

The answer is "Option A"

Step-by-step explanation:

The domain is the collection of the value, which belongs to the separate variable (horizontal axis). So, to find a region with a graph, it must search for the function, which starts and end. And at all these levels we are searching at x-values.  

Its starting point is (2,9) and the ending point is (8,3).  Therefore, x= 2 to x=8 is the domain.

5 0
4 years ago
Find the probability that the results is not (6,heads)
Dovator [93]

Answer:

1:5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a rocket is scheduled to launch from a command center in 3.75 hours. what time is it now if launch time is 11:20am. i need to kn
gtnhenbr [62]

The equation would be 3.75+t=11.2 so:

3.75+t=11.2

3.75+t-3.75=11.2-3.75

t=7.45, which is 7:35.


5 0
3 years ago
Read 2 more answers
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