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Australian AMC 2017 - Upper Primary Question 14

AMC AUSTRALIA · Australian AMC 2017 - Upper Primary

Question 14

A maths student made the pattern shown. The numbers down the sides increase by 1, and every other number is the sum of the two numbers above it. What is the sum of all the numbers on the next line?

Rows: (1, 1, 1); (2, 2, 2, 2); (3, 4, 4, 4, 3); (4, 7, 8, 8, 7, 4); (5, 11, 15, 16, 15, 11, 5).

Question illustration
  1. 128
  2. 138
  3. 148
  4. 158
  5. 168