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Math Help - Advance Counting

  1. #1
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    Advance Counting

    Assume that the population of the world in 2002 was 6.2 billion and is growing at the rate of 1.3% a years.
    (a) Set up a recurrence relation for the population of the world n years after 2002.

    (b) Find an explicit formula for the population of the world n years after 2002.

    (c) what will the population of the world be in 2022?
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  2. #2
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    Hello, bhuvan!

    Assume that the population of the world in 2002 was 6.2 billion
    and is growing at the rate of 1.3% a years.

    (a) Set up a recurrence relation for the population of the world n years after 2002.

    P_o \:=\:6.2
    billion

    P_n \;=\;1.013\!\cdot\!P_{n-1}



    (b) Find an explicit formula for the population of the world n years after 2002.

    P(n) \;=\;6.2(1.013)^n
    billion



    (c) What will the population of the world be in 2022?

    When t = 20\!:\;\;P(20) \;=\;6.2(1.013)^{20} \;\approx\;8.0275
    billion
    .
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  3. #3
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    Thank You !!
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