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yulyashka [42]
3 years ago
9

Write the first four terms of a geometric sequence. Using the values you have written, calculate the common ratio and write the

rule for the nth term. Show all calculations.
Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

FIRST FOUR (4) TERM = 6, 18, 54,162.

COMMON RATIO = 3

Step-by-step explanation:

In geometric expression.

Tn = the nth term

a = first term

r = common ratio.

Let's take the First term of the G.P as 6 and the third term as 54. Let's find the common ratio.

3rd term will be written as:

T3 = ar² = 54

Given the first term as 6.

T3 = 6r² = 54

6r² = 54

r² = 54 / 6

r² = 9

r= √9

r = 3

Therefore common ratio = 3.

Let's use this information to get the fourth term.

T4 = ar³

when a = 6

and r = 3.

T4 = 6 * 3³

T4 = 6 * 27

T4 = 162

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2. √5×√15×√75

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8 0
3 years ago
n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However,
timurjin [86]

The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.

<h3>What is the standard deviation?</h3>

It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.

The standard deviation of the sampling distribution is found as;

\rm \sigma_F-\sigma_s= \sqrt{\frac{0.37 \times (1-0.37)}{28}+\frac{0.89 \times (1-0.89)}{100}  } \\\\  \sigma_F-\sigma_s=0.096

The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.

Hence option D is correct.

To learn more about the standard deviation, refer to: brainly.com/question/16555520.

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6 0
2 years ago
Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe
andriy [413]
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The distance between the two points is 1.1
5 0
3 years ago
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goldenfox [79]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

For this problem, we can use the rule "two negatives make a positive".

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81 - 34 = 47

Change all of the positive/negative signs:

-81 + 34 = -47

8 0
3 years ago
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