Problem

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: $f(n)=$

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/8052/

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