Question

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.

Answer 1

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)