As part of a social experiment, Joey sent an email to 2 friends. The email asks the person reading it to forward it to 3 people. The table s

Question

As part of a social experiment, Joey sent an email to 2 friends. The email asks the person reading it to forward it to 3 people. The table shows the distribution of the email, assuming that everyone who recelves the email forwards it to 3 new people. Number of iterations Number of People Recelving the Email.​

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Hồng Cúc 4 years 2021-08-05T18:34:27+00:00 2 Answers 37 views 0

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  1. Bo
    0
    2021-08-05T18:35:31+00:00
    Reply

    Answer: The answer is C

  2. Thunguyet
    0
    2021-08-05T18:36:06+00:00
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    Answer:

    I can not see the table, so i will answer this in a general way.

    Ok, let’s see a rough image of what is happening.

    First, Joey sends the email to 2 friends.

    So first, 2 people have the email

    Then each friend sends the email to 3 new people.

    So now the number of people that has the email is:

    2 + 2*3 = 2 + 6.

    Now, the 6 new people that received the email send it to other 3 new people each, so now the number of people that got the email is:

    2 + 6 + 6*3

    and so on.

    We already can see the pattern here, we can write this as:

    ∑aₙ

    Where aₙ = 3*aₙ₋₁

    and a₀ = 2.

    So with that information, we can find the number of iterations, n, for a given number of people that received the email A.

    A = ∑aₙ = (a₀ + a₁ + a₂ + ….) = (2 + 2*3 + 2*3*3 + …)

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