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dedylja [7]
3 years ago
10

What is the recursive rule for this geometric sequence?

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

a_{n} = \frac{1}{4}a_{n-1}

Step-by-step explanation:

The recursive rule allows us to find the term in a sequence from the previous term by multiplying it by the common ratio.

The common ratio r for the geometric sequence is

r = \frac{\frac{1}{2} }{2} = \frac{1}{4}

Thus the recursive rule is

a_{n} = \frac{1}{4}a_{n-1} with a₁ = 2

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For the following exercises, find the average rate of change of the functions from x = 1 to x =2.
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Answer:

For the function $f(x)=4 x-3$ the average rate change from x is equal 1 to x is equal 2 is 4 .

Step-by-step explanation:

A function is given f(x)=4x-3.

It is required to find the average rate change of the function from x is 1 to x is 2 . simplify.

Step 1 of 2

A function f(x)=4 x-3 is given.

Determine the function $f\left(x_{1}\right)$ by putting the value of x=1 in the given function.

$$\begin{aligned}&f(1)=4(1)-3 \\&f(1)=1\end{aligned}$$$$f(1)=1$$

Determine the function $f\left(x_{1}\right)$ by putting the value of x is 2 in the given function.

$$\begin{aligned}&f(2)=4(2)-3 \\&f(2)=5\end{aligned}$$

Step 2 of 2

According to the formula of average rate change of the equation $\frac{\Delta y}{\Delta x}=\frac{f\left(x_{2}\right)-f\left(x_{2}\right)}{x_{2}-x_{1}}$

Substitute the value of $f\left(x_{1}\right)$ with, $f\left(x_{1}\right)$ with $3, x_{2}$ with 2 and $x_{1}$ with 1 .

$$\begin{aligned}&\frac{\Delta y}{\Delta x}=\frac{5-1}{1} \\&\frac{\Delta y}{\Delta x}=4\end{aligned}$$

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2 years ago
Show math equation of 5x + 6x equation
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3 years ago
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Please help if the answer is correct you will get 5 stars :)
alukav5142 [94]

Answer:

40

Step-by-step explanation:

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Select the two values of x that are roots of this equation x^2+3x-3=0<br> Apex
andrew-mc [135]

Answer:

C, and D are both roots of this equation

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Vlad1618 [11]

Answer:

86 * 0.2 = 17.2

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Step-by-step explanation:

A) the multiplier is <u><em>0.2 </em></u>

B) The price is <em><u>103.2</u></em>


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