Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on board games at the end of each month until his money ran out. Let f (n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.

f is a sequence. What kind of sequence is it?

p. s" tell me if it is a geometric sequence or arithmetic and find the explicit formula

Question

Mathematics

Janiah Martin

26 October, 20:12

Takuya's parents gave him $100dollar as a birthday gift. Since he loves board games, he spent $20dollar out of his present on board games at the end of each month until his money ran out. Let f (n) be the amount of money that remained from Takuya's present during month n, where n=1 represents the month he received his present.

f is a sequence. What kind of sequence is it?

p. s" tell me if it is a geometric sequence or arithmetic and find the explicit formula

+2

Answers (2)

Know the Answer?

Karina Gutierrez · Answer 1

1. arithmetic 2. f (1) = 100

f (n) = f (n-1) + (-20)

Chasity Perez · Answer 2

To write a recursive formula you need to: First, determine if the sequence is geometric (For example, If your multiply, or divide, the same amount for one term or more). Next, Find the common ratio (In other words the number that you multiply or divide).