Write a recursive and explicit formula for each option.
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]
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.
