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Which sentence is NOT a geometric progression?

DIA [1.3K]

<u>c) 3, 6, 9 12</u> is NOT a geometric progression

<h3>Further explanation </h3>

Geometry sequences are series of numbers that have a constant ratio

or can be interpreted:

Each number is obtained by multiplying the previous number by a constant

The sequence can be:

a, ar, ar², ar³, ... etc.

Can be formulated

$\large {\boxed {\bold x_n = ar ^ {n-1}}}$

where:

a is the first term, and

r is the common ratio

So we have to see the series has the same ratio or not

a. $\dfrac{5}{1}=\dfrac{25}{5}=5\to \rm geometric\:progression$

b. $\dfrac{8}{4}=\dfrac{16}{8}=2\to \rm geometric\:progression$

c. $\dfrac{6}{3}\neq \dfrac{9}{6}\to \rm not\:geometric\:progression$

d. $\dfrac{6}{2}=\dfrac{18}{6}=3\to \rm geometric\:progression$

<h3>Learn more </h3>

a geometric sequence

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Determine whether the sequence below is a geometric

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the formula for a finite geometric series

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Keywords : a geometric sequence, the first term, the common ratio

7 0

3 years ago

Read 2 more answers

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t

Olenka [21]

Area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) =

= pi*(80x^3 +144x^2 +84x +16)

than we consider it without pi so result choice A. is right sure

hope helped

3 0

2 years ago

Read 2 more answers

9.3+b=−42 , you would subtract 9.3 to isolate the variable.

Rama09 [41]

Answer:

yeh you are correct so it will be b is equal to minus 42 minus 9.3 that will be equal to -51.3 so that is the value of b

5 0

3 years ago

A department store, on average, has daily sales of 28,651.79. the standard deviation pf sales is $1000. On Tuesday, the store so

adelina 88 [10]

Answer:

Tuesday's Z-score is 7.56

Step-by-step explanation:

We are given that a department store, on average, has daily sales of 28,651.79 and the standard deviation of sales is $1000.

Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.

Let X = Daily sales of goods

So, X ~ N( $\mu = 28,651.79, \sigma^{2} =1000^{2}$ )

The z-score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ standard normal N(0,1)

Now, Tuesday,s Z-score is given by;

Z = $\frac{36,211.08-28,651.79}{1000}$ = 7.56

Yes, Tuesday was an unusually good day as on this day more worth of sales takes place as compared to the average daily sales of $28,651.79 .

5 0

3 years ago

4. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays

Oxana [17]

Two possible solutions are: (4.5, 8.5) and (8, 6.3)

<h3>How to graph the inequality?</h3>

Let x represents hours dog walking and y represents hours washing cars.

So, we have:

Earnings = Rate of dog walk * x + Rate of car wash * y

This gives

Earnings = 7x + 11y

He wants to earn at least $125.

This means that:

7x + 11y ≥ 125

See attachment for the graph of the inequality

From the attached graph, two possible solutions are: (4.5, 8.5) and (8, 6.3)