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timurjin [86]
3 years ago
5

Identify which of the sequences below is a geometric sequence.

Mathematics
2 answers:
earnstyle [38]3 years ago
8 0
D. 3, 6, 12, 24, 48
Dividing any two consecutive numbers gives a constant value
son4ous [18]3 years ago
3 0

Answer:

The right answer is d. 3, 6, 12, 24, 48.

Step-by-step explanation:

To find the right answer, we need to know that for a sequence to be a geometric sequence; each term has to be multiple of the previous term, and it has to be the same multiple for all terms.

we're going to check all the answer to seek the right answer.

Checking a. 1, 3, 5, 7, 9.

Three is three times 1, but 5 isn't multiple of 3, with this we can see a isn't the right answer.

Checking b. 2, 4, 6, 8, 10,

Four is twice 2, but 6 isn't multiple of 4, with this, we can see b isn't the right answer

Checking c. 2, 5, 7, 10, 12,

Five isn't multiple of 2 so, c isn't the right answer.

Checking d. 3, 6, 12, 24, 48,

Six is  twice three; twelve is twice six, twenty-four is twice twelve, and

forty-eight is twice twenty-four.

we can see that in d all the terms are multiples and twice the previous term, so this is the right answer.

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A quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 1
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The answer is E. Impossible to determine

Step-by-step explanation:

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.However, this approximation of a confidence interval may only be used for a sample if the number of observations is at least 30 or above.  When we have less observations than 30 we must use the standard deviation of the populations. But we only have a sample standard deviation so its not adequate or possible to determine CI the true mean of the population with such a small sample size.

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In multiplication what is 707 - 58
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Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
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