IKMC 2025 - Grades 11-12 - Self-study Question 24

Question 24

A table has two columns and 51 rows. The first row is (5,3). Each following row contains the sum and the positive difference of the preceding pair. What is the last row?

$(5^{25},3^{25})$
$(5^{50},3^{50})$
$(2\cdot5^{25},2\cdot3^{25})$
$(5\cdot2^{25},3\cdot2^{25})$
Other numbers