Instructions: Identify the type of sequence and write the recursive rule. Sequence: 3,18,108,648,…3,18,108,648,…Type: Answer 1 Question 3an=an−1𝑎𝑛=𝑎𝑛−1 Answer 2 Question 3 Answer 3 Question 3a1=𝑎1= Answer 4 Question 3
Question
Instructions: Identify the type of sequence and write the recursive rule. Sequence: 3,18,108,648,…3,18,108,648,…Type: Answer 1 Question 3an=an−1𝑎𝑛=𝑎𝑛−1 Answer 2 Question 3 Answer 3 Question 3a1=𝑎1= Answer 4 Question 3
Solution
The given sequence is: 3, 18, 108, 648,...
Step 1: Identify the type of sequence This sequence is a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Step 2: Write the recursive rule In this sequence, each term is 6 times the previous term. So, the recursive rule is: an = 6 * an-1
Step 3: Find the first term The first term (a1) of the sequence is 3.
So, the answers are: Type: Geometric Sequence Recursive Rule: an = 6 * an-1 First Term: a1 = 3
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