Samantha loves collecting rare coins. In the first year of her collection, she starts with 50 rare coins. Each year after that, the number of coins she acquires is 30% more than the previous year.
a. Is it arithmetic or geometric?
b. Write in recursive formula.
a. This is a geometric sequence, as each term is obtained by multiplying the previous term by a certain percentage.
b. recursive formula:
Let C(n) be the number of coins Samantha has in year n.
C(1) = 50
C(n) = C(n-1) + 0.30 * C(n-1)