Multiple choice

Find the next term of the given sequence. 12, 36, 80, 150, 252, ...

  1. 268

  2. 300

  3. 392

  4. 412

  5. 512
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C Correct answer
Explanation

Differences: 36-12=24, 80-36=44, 150-80=70, 252-150=102. Second differences: 44-24=20, 70-44=26, 102-70=32. The second differences increase by 6. Next second difference is 38. Next first difference is 102+38=140. Next term is 252+140=392.

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