Step 1 :1. Number of people day 1: \(2\)
Step 2 :2. Number of people day 2: \(2^2 = 4\)
Step 3 :3. Number of people day 3: \(2^3 = 8\)
Step 4 :4. Number of people day 4: \(2^4 = 16\)
Step 5 :5. Number of people day 5: \(2^5 = 32\)
Step 6 :Recursive Formula: \(f(1) = 2\), \(f(n) = 2 * f(n-1)\)
Step 7 :Explicit Formula: \(f(n) = 2^n\)
Step 8 :\boxed{\text{Final Answer:}}
Step 9 :1. Number of people day 1: \(2\)
Step 10 :2. Number of people day 2: \(4\)
Step 11 :3. Number of people day 3: \(8\)
Step 12 :4. Number of people day 4: \(16\)
Step 13 :5. Number of people day 5: \(32\)
Step 14 :Recursive Formula: \(f(1) = 2\), \(f(n) = 2 * f(n-1)\)
Step 15 :Explicit Formula: \(f(n) = 2^n\)