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The answer is 8,3,-2, -7, -12.
Step 1. Identify the common difference
The common difference ( d ) can be found by subtracting each term from the previous term:
d = 3 - 8 = -5
d = -2 - 3 = -5
The common difference is d = -5.
Step 2. Find the missing terms
Now that we know the common difference, we can find the next terms in the sequence:
Fourth term = -2 + (-5) = -7
Fifth term = -2 + (-5) + (-5) = -2 - 5 = -7 -5 = -12
Final Sequence: 8, 3, -2, -7, -12