Exponents Grow

While the influencers who use our platform are really great at taking selfies, most aren't super great at math. We need to write a tool that predicts an influencer's follower growth over time.

Complete the get_follower_prediction function. It takes a follower_count integer, an influencer_type string and a num_months integer, and returns an integer.

Calculate the number of followers an influencer will have after a given number of months according to the influencer type:

• "fitness": follower count quadruples each month
• "cosmetic": follower count triples each month
• other: follower count doubles each month

For example, if a "fitness" influencer starts with 10 followers, then after 1 month they would have 40 followers. After 2 months, they would have 160 followers, and so on.

This kind of sequence, where each term is found by multiplying the previous term by a constant, is called a geometric sequence or geometric progression.

Use the following version of the geometric progression formula, in which a1 is the initial number of followers, r is the multiplication constant, and n is the number of months:

total = a1 × r^n