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Marina CMI [18]
2 years ago
15

Describe this pattern and Find the next 3 numbers in the pattern 3.5, 13, 41.5, 127, , , . also explain in a easy way how you fi

nd it
Mathematics
1 answer:
notsponge [240]2 years ago
6 0

You have:

a_1=3.5,\\ \\a_2=13,\\ \\a_3=41.5,\\ \\a_4=127.

Find

a_2-a_1=13-3.5=9.5,\\ \\a_3-a_2=127-41.5=28.5=9.5\cdot 3,\\ \\a_4-a_3=127-41.5=85.5=28.5\cdot 3=9.5\cdot 3^2.

This gives you the rule how to find next terms:

1.

a_5-a_4=9.5\cdot 3^3,\\ \\a_5-127=256.5,\\ \\a_5=127+256.5=383.5.

2.

a_6-a_5=9.5\cdot 3^4,\\ \\a_6-383.5=769.5,\\ \\a_6=383.5+769.5= 1153.

3.

a_7-a_6=9.5\cdot 3^5,\\ \\a_7-1153=2308.5,\\ \\a_7=1153+2308.5=3461.5.

Answer: next 3 terms are 383.5, 1153 and 3461.5.

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The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probabi
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The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

<h3>What is meant by poison distribution?</h3>

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

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Given that $\lambda=1.8$

The required probability, $P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

To learn more about poison distribution refer to:

brainly.com/question/9123296

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1 year ago
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