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frosja888 [35]
3 years ago
12

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

Mathematics
2 answers:
Goshia [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

loris [4]3 years ago
6 0

Answer:

Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

Step-by-step explanation:

We have been given a formula a_n=\frac{1}{2}\cdot a_n-1

a_1=1

We will put values of n in a_n=\frac{1}{2}\cdot a_n-1

when n=2 we get

a_2=\frac{1}{2}\cdot a_2-1

\Rightarrow a_2=\frac{1}{2}\cdot a_1

\Rightarrow a_2=\frac{1}{2}\cdot 1

\Rightarrow a_2=\frac{1}{2}

when n=3

a_3=\frac{1}{2}\cdot a_2

\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}

\Rightarrow a_3=\frac{1}{4}

Therefore, Option A is correct that is 1,\frac{1}{2},\frac{1}{4}

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Answer:

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Step-by-step explanation:

the length of one side would be √1600 which is 40 so 40• 4 is 160

4 0
3 years ago
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Explain two different ways to find the difference for 12-3?
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What is the value of x in the equation 3-2x--15x?<br><br> 6<br> 2<br> 2<br> 6
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Consider the given equation is 3-2x=15 and one of the 6 in the options is -6.

Given:

The equation is

3-2x=15

To find:

The value of x.

Solution:

We have,

3-2x=15

Subtracting 3 from both sides, we get

3-2x-3=15-3

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Divide both sides by -2.

x=\dfrac{12}{-2}

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Therefore, the value of x is -6.

6 0
3 years ago
A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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Find 12 1/2 % of 96men
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Step-by-step explanation:

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