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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.

Respuesta :

thaovtp1407

Write a recursive and explicit formula for each option.

  • The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = [tex]a_{n-1} *2[/tex]

=> explicit an = 0.05*[tex]2^{n-1}[/tex]

  • The Gaineys

Start their savings by saving  $10  on the first day and then  $10  each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = [tex]a_{n-1} +10[/tex]

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

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