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2 years ago

10

Which formula can be used to describe the sequence below? 27,9,3,1,1/3

2 answers:

Gnesinka [82]2 years ago

8 0

Answer:

D. an=3an-1-1/3;a1=27

Step-by-step explanation:

givi [52]2 years ago

5 0

This is a geometric sequence with an initial term of 27 and a common ratio of 1/3

This just means that each term is 1/3 the term preceding it.

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number in this case:

a(n)=27(1/3)^(n-1)

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antoniya [11.8K]

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3 years ago

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2 years ago

Solve for x. Write the smaller solution first, and the

Leni [432]

Answer:

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Step-by-step explanation:

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3 years ago

Suppose that Ayumi rolls a pair of fair six-sided dice. Let A be the event that the first die lands on 2 and B be the event that

Tanya [424]

Answer:

$\frac{1}{6} ,\frac{1}{6} ,\frac{1}{36}\,,\,independent$

Step-by-step explanation:

Given: Let A be the event that the first die lands on 2 and B be the event that the second die lands on 2.

To find:

P(A), the probability that the first die lands on 2

P(B), the probability that the second die lands on 2

P(A and B): the probability that the first die lands on 2 and the second die lands on 2

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Sample space = $\left \{ 1,2,3,4,5,6 \right \}$

Total number of outcomes = 6

For P(A):

Number of favourable outcomes = 1

So,

$P(A)=\frac{1}{6}$

For P(B):

Number of favourable outcomes = 1

So,

$P(B)=\frac{1}{6}$

P(A and B) = $P(A)P(B)=\left ( \frac{1}{6} \right )\left ( \frac{1}{6} \right )=\frac{1}{36}$

Yes, A and B are independent events as happening of each of the event does not depend on the other.

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3 years ago

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MakcuM [25]

Answer:

m=-1

Step-by-step explanation:

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4 0

3 years ago