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Alexxx [7]
3 years ago
7

An investigator conducts an experiment with four treatment groups. The response variable is growth of a plant during the experim

ent. She performs an​ F-test. What is the null hypothesis the researcher is testing with the​ F-test?
a. All plants in all treatment groups have the same growth during the experiment.
b. All four treatment groups have the same average growth of the plants during the experiment.
c. All four treatment groups have a different average growth of plants during the experiment.
d. At least one treatment group has a different average growth of plants during the​ experiment, but not all four necessarily have different mean growths.
e. All plants in each treatment group have the same growth during the​ experiment, but plants in different treatment groups might have different growths.
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:h

Step-by-step explanation:

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1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

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a_1 =6\\a_2 = 18\\a_3 = 54

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3

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(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

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In case of given sequence,

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(c) Give the rule you would use to find the 20th week.

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The general form of explicit formula is given by:

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Putting the values of a_1 and r

a_n = 6 * (3)^{n-1}

Hence,

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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