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3 years ago

How can you differentiate between a geometric sequence and an arithmetic sequence

2 answers:

5 0

An arithmetic sequence increases at a constant rate.
A good example is multiples of 3
3 6 9 12 15 18
Each number equals the next number by a difference of three.

A good example of a geometric sequence is the powers of 2
2 4 8 16 32 64 128
Here, you see, the difference between the numbers is constantly increasing.

Zarrin [17]3 years ago

3 0

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference.A geometric sequence is a sequence with the ratio between two consecutive terms constant.

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Lucia surveyed the students in her class and made a dot plot of the results. What question could Lucia have asked?

kolezko [41]

Answer:

How many days do you exercise in a week?

Step-by-step explanation:

The topic is students' weekly exercise so the question has to be about that. also, there are up to 7 days worth of data and there a 7 days in a week. so she most likely asked the question, "How many days do you exercise in a week?".

4 0

4 years ago

The annount of time (in minutes) that it takes to put out a fire varies inversely

sveticcg [70]

Given that the amount of time varies inversely with G.

It can be written as,

$T G=K$

where K is the constant.

We need to determine the time it takes to put out the fire when 200 gallons of water are used.

The value of constant:

When $G=8, T=12$ , we get;

$(12)(8)=K$

$96=K$

Thus, the value of constant is 96.

Time taken:

Substituting $G=2$ and $K=96$ in the formula $T G=K$ , we get;

$T(2)=96$

$T=48$

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.

Hence, Option B is the correct answer.

5 0

3 years ago

PLEASE HELP MEEEEE !!!!!! Like rn

Dovator [93]

Answer:

Your screen is black hun

Step-by-step explanation:

4 0

3 years ago

Question 22 Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every

Setler [38]

Answer:

897 liters

Step-by-step explanation:

The motor oil is composed of 8 liters of natural oil and 5 liters of synthetic oil. This means there is a ratio of 8/5. We have 552 liters of natural oil to y liters of synthetic. This is the ratio 552/y. Create a proportion that compares the two ratios.

$\frac{8}{5}=\frac{552}{y}$

Solve by cross multiplying.

8y = 5(552)

8y = 2,760

y= 345

345 liters of synthetic oil.

Together 552+345= 897 liters of motor oil.

4 0

3 years ago

Can't figure it out!!

Zanzabum

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \cfrac{1}{x} \qquad 
\begin{cases}
x_1=2\\
x_2=b
\end{cases}\implies \cfrac{f(b)-f(2)}{b-2}=-\cfrac{1}{10}
\\\\\\
\cfrac{\frac{1}{b}-\frac{1}{2}}{b-2}=-\cfrac{1}{10}\implies 
\cfrac{\frac{2-b}{2b}}{b-2}=-\cfrac{1}{10}\implies \cfrac{2-b}{2b}=-\cfrac{b-2}{10}
\\\\\\
$

$\bf \cfrac{2-b}{2b}=\cfrac{2-b}{10}\implies 20-10b=4b-2b^2\impliedby cross-multiplying
\\\\\\
2b^2-4b-10b+20=0\implies 2b^2-14b+20=0
\\\\\\
b^2-7b+10=0\implies 
(b-2)(b-5)=0\implies b=
\begin{cases}
\boxed{5}\\
2
\end{cases}$

8 0

3 years ago