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mihalych1998 [28]
4 years ago
7

Is the sequence 5,9,15———-an arithmetic?

Mathematics
2 answers:
Mademuasel [1]4 years ago
6 0

Answer:

No, the given sequence is not arithmetic.

Step-by-step explanation:

The given sequence is

5,9,15,....

The first term is 5.

A sequence is an arithmetic, if the difference between any two consecutive terms are same.

The difference between terms are

d_1=9-5=4

d_2=15-9=6

d_1\neq d_2

Since the difference between consecutive terms are not same, therefore given sequence is not arithmetic.

Veseljchak [2.6K]4 years ago
4 0

Answer:

5, 9, 15,....is not an arithmetic sequence.

Step-by-step explanation:

Arithmetic sequence  is a sequence in which difference between the consecutive terms is constant.

Example: 0 , 5, 10, 15, 20 is an arithmetic sequence with common difference of 5 between the terms.

Consider the given sequence,

5, 9, 15,....

Here, a_1=5\\\\a_2=9\\\\a_3=15

We first find the difference between the terms,

a_2-a_1=9-5=4

a_3-a_2=15-9=6

Since the difference is not constant .

So,it is not an arithmetic sequence.

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Using it's formula, it is found that the mean of the discrete random variable is given by:

B. 30.47.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Hence, considering the table, the mean of the discrete distribution is:

E(X) = 23 x 0.16 + 25 x 0.09 + 26 x 0.18 + 31 x 0.12 + 34 x 0.24 + 38 x 0.21 = 30.47.

Hence option B is correct.

More can be learned about the mean of a discrete random variable at brainly.com/question/26660401

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2 years ago
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S_A_V [24]

Answer:

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Read 2 more answers
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katovenus [111]
Exact form: -55/18
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2 years ago
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
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First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

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