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andriy [413]
2 years ago
12

For each sequence, determine whether it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic

or geometric, give the next term in the sequence.
1, 8, 27, 81, 243,
Mathematics
1 answer:
12345 [234]2 years ago
8 0

The sequence is a geometric and the next term is 729

<h3>What is a geometric sequence?</h3>

A geometric sequence is a type of sequence which goes from one term to the next by multiplying or dividing by the same value.

The number multiplied or being divided at each stage of a geometric sequence is known as the common ratio.

From the sequence given,

1, 3, 27, 81, 243,

We can see that the common ratio is gotten by multiplying a term by 3 or dividing the next term by 3.

The next term is 243 × 3 = 729

Thus, the sequence is a geometric and the next term is 729

Learn more about a geometric sequence here:

brainly.com/question/1509142

#SPJ1

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If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints
Dima020 [189]
<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

<h2>Why?</h2>

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following  unit relationship:

0.5Quart=Pints

Now, calculating how much is a pint:

\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45

A pint is $0.45.

Then, calculating how much are 5 pints:

Price=0.45*NoOfPints=0.45*5=2.25

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0
3 years ago
Lorenzo is planning a 285-mile trip. His car’s EPA rating is 18 mpg. The number of gallons of gas that Lorenzo will need for the
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Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

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3 years ago
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