3 years ago

What does a geometric sequence contain

1 answer:

6 0

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

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The answer will be C

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Answer:

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$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

Step-by-step explanation:

For this case we know the following probability mass function given:

$P(y) = cy , y= 1,2,4,5$

For this case we need to satisfy the following condition in order to have a probability distribution function:

$\sum_{i=1}^n P(y_i) =1$

And we have this:

$c(1+2+4+5) =1$

$c =\frac{1}{12}$

Now we can find the expected value with this formula:

$E(Y) =\sum_{i=1}^n Y_i P(Y_i) =\sum_{i=1}^n cy_i *y_i = cy^2_i$

And replacing we got:

$E(Y) = \frac{1}{12} (1^2 + 2^2 + 4^2 +5^2) = \frac{46}{12}= \frac{23}{6}$

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3 years ago

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

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