Answer:
Tn = 0.35 + 0.15n
Step-by-step explanation:
From the sequence given, the fine for overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...
the difference between the 2 consecutive terms
d = T2 - T1 = T3 - T2
= $0.65 - $0.50
= $0.15
Let a = first term = $0.50
d = common difference between 2 consecutive terms
n = number of term
T1 = a = $0.50
T2 = a + d = $0.50 + $0.15
= $0.65
T3 = a + d + d = a + 2d
= $0.50 + $0.15 + $0.15
= $0.80
Going by the sequence above
Tn = a + (n-1)d
Tn = 0.5 + (n-1)0.15
Tn = 0.5 + 0.15n - 0.15
Tn = 0.35 + 0.15n
Marisa's library fine as a function of a book that is n days overdue is given as 0.35 + 0.15n
