Puzzles and logic › Processes, invariants and strategy › Board operations and invariants
Sum after repeated difference insertion
High school · ●●○○○ 20 pts
Write the 4 numbers in a row and perform the following operation: for each pair of adjacent numbers, subtract the left number from the right number, and write the result between the two numbers. This completes one operation. Then perform the same operation on the 7 numbers now in a row, and continue this process for a total of 100 operations. Find the sum of the final row of numbers.