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:
$f(n)=$
Explicit Formula: \(f(n) = 2^n\)
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: \(f(n) = 2^n\)