Mei Ling writes the number pattern: 5, 11, 19, 29, ___, ___ . The differences between consecutive terms increase by 2 each time. What are the next two terms in the pattern?
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Worked Solution
Step 1: Find the differences between consecutive terms: 11-5=6, 19-11=8, 29-19=10.
Step 2: The differences form their own pattern: 6, 8, 10 (each increases by 2), so the next two differences are 12 and 14.
Step 3: Find the 5th term: 29 + 12 = 41.
Step 4: Find the 6th term: 41 + 14 = 55.
Final: The next two terms are 41, 55.
Answer: 41, 55
Correct answer: 41, 55
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