Question

Write the recursive formula or the explicit formula for the sequence {3,6,12,24,48,...}.

Answer 1

a(n) = 3*(2)^(n-1)

Explanation:

Each new term is found by multiplying the previous term by 2. The first term is 3. Using the standard explicit formula for a geometric series, we get:

a(n) = a(1)*r^(n-1). In this particular case we have a(n) = 3*(2)^(n-1).