All categories

3 years ago

Please help with my Sequences Hw I will give brainliest

Mathematics

1 answer:

lions [1.4K]3 years ago

8 0

Geometric with a common ratio of 4/3

9*4/3 = 12
12*4/3= 16
16 *4/3 =21 1/3

You might be interested in

Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.

sammy [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\frac{3x+2}{2x-1}$

at x₁ = a,

$f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}$

at x₂ = a+h,

$f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}$

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

$=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:$

as a+h-a = h, so

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

Thus, the everarge rate of chnage: $\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

We can further simplify such as:

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

$=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}$

Cancel the common factor h

$=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}$

6 0

3 years ago

Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a ch

Bad White [126]

The diagonal line is equal to $\sqrt{24^{2} + 45^{2} }$ using pythagoras' theorem of $a^{2} + b^{2} = c^{2}$ . This gives us a value of 51m for the diagonal line.

TOTAL; 51+24+45=120m of fencing

4 0

3 years ago

A mountain climber descends a cliff at a rate of 2.5 ft/second. Write an equation modeling the change in elevation (variable = c

Ahat [919]

The equation which represents the change in elevation of the mountain climber as he descends the cliff is; c = -2.5s.

<h3>What is the change in elevation c of the climber in terms of seconds?</h3>

It follows from the task content that the change in elevation of the climber is to.be represented by c and since the rate of descending the cliff is given as; 2.5 ft/second.

Therefore, the required equation is; c = -2.5s.

Read more on proportional relationship;

brainly.com/question/21302696

#SPJ1

8 0

2 years ago

Simplifying algebraic expressions 3c + 6( -2 - 7c)

max2010maxim [7]

Answer: -39c-12

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the square root of 456?

lorasvet [3.4K]

$\begin{aligned} \sqrt{456}\\ \sqrt{4\cdot 114} \text{ }\\ \sqrt{4} \sqrt{114}\text{ }\\ 2 \sqrt{114}\text{ } \end{aligned}\\\\\begin{aligned} \sqrt{456} \approx 21.354156504062622 \end{aligned}$

3 0

3 years ago

Read 2 more answers