A girl writes a different natural number on each of the cubes in the image. The sum of numbers on cubes in the lowest layer is 50. The numbers on the cubes in the second layer are the sum of numbers on the cubes beneath them. Using the same procedure the number on the top cube is obtained. What is the greatest number that can be written on the top cube?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A girl writes a different natural number on each of the cubes in the image. The sum of numbers on cubes in the lowest layer is 50. The numbers on the cubes in the second layer are the sum of numbers on the cubes beneath them. Using the same procedure the number on the top cube is obtained. What is the greatest number that can be written on the top cube?

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