Shira posts a joke on her social network page. Four of her friends repost the joke on their pages. Four of each of their friends also

Question

Shira posts a joke on her social network page. Four of her
friends repost the joke on their pages. Four of each of their friends also repost the
joke, and so on. How many people will post the joke on the ninth round?

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Kim Chi 2 weeks 2021-07-19T02:12:54+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-07-19T02:14:13+00:00

    Answer:

    262 144

    Step-by-step explanation:

    At each round, there are four times more people reposting the joke. Therefore, we have 4^{9} = 262 144 people reposting the joke on ninth round.

    0
    2021-07-19T02:14:44+00:00

    Answer:

    65536 (people)

    Step-by-step explanation:

    Each new count is found by multiplying the previous one by 4.  This is a geometric sequence.  The general geometric sequence model a(n) = a(1)*r^(n -1) becomes

    a(n) = 1*4^(n – 1)

    On the 9th round, a(9) people will post the joke:

    a(9) = 1*4^(9 – 1) = 65536 (people)

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