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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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If you solve the inequality 2x &lt; 14, the solution set is x &lt; 7. Graph x &lt; 7 on a number line. Which one of the listed v
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Answer:

its D) x = -8 is correct

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

-Hops

5 0
3 years ago
Read 2 more answers
What is the median,mode, and mean of 76,76,77,84,85,89
bogdanovich [222]
76 is the mean for this problem
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13 feet in 5 steps plss
Mashutka [201]

Answer:

2.6 feet per step

Step-by-step explanation:

8 0
2 years ago
A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, Mean = Median=Mode

For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}

                =\frac{753}{26}

                =28.96

Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

Median=\left(\frac{N+1}{2} \right)^{th} item

                   =\left(\frac{26+1}{2}\right)^{th} item

                   =13.5^{th} item

                   =26+0.5 \times (27-26)

                   =26.5

\therefore Median = 26.5

The mode is the most frequently occurring observation. Therefore the mode is:

Mode=23

Since the Mean >Median>Mode, therefore the distribution of the given data set is positively skewed.


5 0
3 years ago
The Yankees won 125 games, the Red Sox won 97 games, and the Mets won 86 games.
marin [14]

Answer:

127:97:86

Step-by-step explanation:

The yankees won 125 games

The Red Sox won 97 games.

The Mets won 86 games

Therefore the ratio of wins of the Yankees to the red Sox to the Mets can be shown as follows

127:97:86

4 0
2 years ago
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