Instructions: Write the recursive rule. Sequence: −11,−3,5,13,…−11,−3,5,13,…an=an−1𝑎𝑛=𝑎𝑛−1 Answer 1 Question 12 Answer 2 Question 12a1=𝑎1= Answer 3 Question 12
Question
Instructions: Write the recursive rule.
Sequence: −11,−3,5,13,…
Recursive rule:
a_n = a_{n-1} + 8
Initial conditions:
a_1 = -11
Sequence representation:
-11, -3, 5, 13,…
Solution
The question seems to be asking for a recursive rule for the sequence -11, -3, 5, 13, ...
Step 1: Identify the pattern in the sequence. The difference between consecutive terms is increasing by 8 each time (-3 - (-11) = 8, 5 - (-3) = 8, 13 - 5 = 8).
Step 2: Write the recursive rule. The first term a1 is -11. Each subsequent term an is found by adding 8 to the previous term an-1. So, the recursive rule is an = an-1 + 8.
Step 3: To answer the question "a1=𝑎1=", the first term a1 of the sequence is -11.
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