Find the first 5 terms of the sequence from the recurrence relation. Given:  • a0= 6 • a1= 9 • an+1 = 1/3 (an+an-1) Show your work here:  a2=  a3=  a4=  Then, write down the first five terms of the sequence:

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2. Find the first 5 terms of the sequence from the recurrence relation. Given: 

• a0= 6

• a1= 9

• an+1 = 1/3 (an+an-1)

Show your work here: 

a2= 

a3= 

a4= 

Then, write down the first five terms of the sequence:

**Title: Solving a Recurrence Relation**

**Objective:** Find the first 5 terms of the sequence using the given recurrence relation.

**Given:**

- \( a_0 = 6 \)
- \( a_1 = 9 \)

**Recurrence Relation:**

- \( a_{n+1} = \frac{1}{3}(a_n + a_{n-1}) \)

**Task:**

1. **Calculate the next terms using the formula:**

   Show your work here:

   - \( a_2 = \)
   - \( a_3 = \)
   - \( a_4 = \)

2. **Final Step:**

   Write down the first 5 terms of the sequence.
Transcribed Image Text:**Title: Solving a Recurrence Relation** **Objective:** Find the first 5 terms of the sequence using the given recurrence relation. **Given:** - \( a_0 = 6 \) - \( a_1 = 9 \) **Recurrence Relation:** - \( a_{n+1} = \frac{1}{3}(a_n + a_{n-1}) \) **Task:** 1. **Calculate the next terms using the formula:** Show your work here: - \( a_2 = \) - \( a_3 = \) - \( a_4 = \) 2. **Final Step:** Write down the first 5 terms of the sequence.
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