Jon made a Facebook video. On the first day, 2 people watch it. On the 2 nd day, each of those 2 people get 2 people to watch it. Assuming the pattern continues, answer each question.
1. Number of people day 1: 2
2. Number of people day 2 :
3. Number of people day 3 :
4. Number of people day 4:
5. Number of people day 5 :
Recursive Formula:
$f(1)=$
$f(n)=$
Explicit Formula:
$f(n)=$

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: \(f(n) = 2^n\)