Sophie started with 10 goldfish in her aquarium. Starting from the second month, the goldfish population doubled every month.
Let h(n) represent the number of goldfish in Sophie's aquarium in the nth month since she started.
a. Is it arithmetic or geometric?
b. Write in explicit formula.
a. The growth of the goldfish population in Sophie's aquarium is geometric because the number of goldfish doubles every month.
b. The explicit formula for h(n) can be expressed as:
h(n) = 10 * 2^(n-1)
where n is the number of months since Sophie started with 10 goldfish.