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AMO 2027 Grades 9-11 SET 2 - Self-study Question 7

AMO · AMO 2027 Grades 9-11 SET 2 - Self-study

Question 7

The first five terms of a sequence are $5,9,16,28,47$. Find the sum of the eighth and seventh terms.
Use the continuation intended in the source: the third differences remain constant. A first difference is the next term minus the preceding term; repeat this operation to obtain second and third differences.

Choose one option.
  1. 189
  2. 210
  3. 280
  4. 241
  5. 166