The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on the first day

Question

The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on the first day of the month and then double the amount each day for a month. The Gaineys are going to start their savings by saving $10 on the first day and then $10 each day of the month.

Part A: Write a recursive and explicit formula for each option.

The Arnold Family:

The Gainey Family:

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Ruby 3 weeks 2021-09-21T13:39:53+00:00 1 Answer 0

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    2021-09-21T13:41:42+00:00

    Answer:

    Kindly check Explanation

    Step-by-step explanation:

    The Arnold family :

    Recursive formula ;

    A1 = $1

    A2 = $1 + 2($1) = $3

    A3 = $3 + 2($3) = $9

    An = An-1 + 2(An-1)

    Where n = day of the month

    Explicit formula;

    y = a(b)^c

    Where :

    y = final amount

    initial amount = a

    Increment on initial amount = b

    Day of the month = c

    Gainey’s Family:

    Recursive formula:

    A1 = $10

    A2 = A1 + $10 = $10 + $10 = $20

    A3 = A2 + $10 = $20 + $10 =$30

    An = An-1 + $10

    Where n = day of the month

    Explicit formula :

    y = a + b(c – 1)

    WHERE:

    y = final amount

    initial amount = a

    Increment on initial amount = b

    Day of the month = c

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