Amanda teaches the art of quilling to 4 students these students each teach the art of quilling to 4 other students if this process continues

Question

Amanda teaches the art of quilling to 4 students these students each teach the art of quilling to 4 other students if this process continues for 5 generations after Amanda how many people will know the art of quilling?

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Isabelle 2 weeks 2021-09-27T03:37:24+00:00 1 Answer 0

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    2021-09-27T03:39:00+00:00

    Answer:

    After 5 generations 1024 people will know the art of quiling.

    Step-by-step explanation:

    Each of 4 Amanda’s students teach the art of quilling to 4 other students, which means the total number N of people who know the quiling will be

    N = 4*4 = 16 \:students

    Now, each of the 16 students will teach 4 other students the art of quiling, which makes N the total number of people who know the quiling

    N= 16*4= 64\: students

    and those 4 teach other 4 and so on until 5 generations; therefore, the total number of people who know the art of quiling after 5 generations will be

    N =4*4*4*4*4= 4^5\\\\\boxed{N = 1024.}

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45:7+7-4:2-5:5*4+35:2 =? ( )