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o-na [289]
3 years ago
9

WHICH ONE OF THE FOLLOWING IS A GEOMETRIC SEQUENCE?

Mathematics
1 answer:
just olya [345]3 years ago
4 0
<h3>Answer: Choice D) 8, 4, 2, 1, 1/2, 1/4</h3>

===============================================

Explanation:

Each term of sequence D has us multiply by 1/2, or divide by 2, to get the next term.

8 * (1/2) = 4

4 * (1/2) = 2

2 * (1/2) = 1

1 * (1/2) = 1/2

(1/2) * (1/2) = 1/4

and so on

We can divide any term, except the first term, by its prior term to get the common ratio, so for instance,

common ratio = (term2)/(term1) = 4/8 = 1/2

and if we apply this to all possible pairs of consecutive terms then we see that we get 1/2 across the board. This confirms we have a geometric sequence.

---------------

The other sequences do not fit this pattern.

For example, choice B has

(term2)/(term1) = 10/(-7) = -1.43

and

(term3)/(term2) = 23/10 = 2.30

those results are not the same; therefore, sequence B is not geometric. The other answer choices can be ruled out in a similar fasion.

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The gift shop at manatee mall was having a clearance sale. Everything was marked down 30%. The original price of a manatee hat w
sergeinik [125]

Answer

Find out the what is the clearance price of a manatee.

To prove

As given

The gift shop at manatee mall was having a clearance sale.

Everything was marked down 30%.

The original price of a manatee hat was $12.

30 % is written in the decimal form.

= \frac{30}{100}

= 0.30

30% of the original price of a manatee = 0.30 × 12

                                                                 = $ 3.6

Clearance price = original price - 30% of the original price

                          = 12 - 3.6

                        = $ 8.4

Therefore the clearance price be $8.4 .

3 0
3 years ago
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
DaniilM [7]

Answer:

y=20x+150

Step-by-step explanation:

Sandy has 150 dollars ALREADY in her account, so each time she earns the money it is building upon. 20x (x because we don't know for how many months.)

Hope this helps ;)

8 0
3 years ago
A pollster contacts 74 people in the 18-21 age bracket and finds that 38 of them respond and 36 refuse to respond. When 297 peop
Nonamiya [84]

Answer:

0,250

Step-by-step explanation:

The probability that you looking for is sum of probability of getting someone in the 18-27age (74 persones) and probability to getting someone who refused (36 and 19 persones) - probability of getting some of 18-27 age who refused (36 persons).

The probability is:

P(a or b)= p(a)+p(b)-p(a&b)=74/371+(36+19)/371-36/371=0,199+0,148-0,097=0,250

7 0
3 years ago
In the number 2145857, how does the digit 5 in the thousands place compare to the digit 5 in the tens place?
fgiga [73]
It is 1,000 bigger than the one in the tens place. 5,000 compared to 50 
7 0
3 years ago
Which of the following statements is true?
bogdanovich [222]

Answer:

(0,0) is a solution to n=m and n=4m

Step-by-step explanation:

For the first equation, If u insert 0 as m into n=m

n=(0) then n will equal 0.

For the second equation, if u insert 0 as m in n=4m

n=4(0) then n will also equal 0.

So the answer is (0,0) is a solution to n=m and to n=4m

Hope this helps :)

3 0
3 years ago
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