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

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