Library / /117 of 520
Number theory Difficulty 5.7 AIME, harder Prove it
34. Let n,a,b be positive integers. Prove:
n!∣bn−1a(a+b)⋯(a+(n−1)b).
Solution
34. Using the method of problem 1 in Exercise Five, divide into two cases p∣b,p∤b and apply problem 2 of the second part of Exercise Four.
Want a route through all this instead of an archive?
The track
puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.
Source: NuminaMath-1.5,
licensed Apache-2.0.
Statement and solution reproduced as published; topic and difficulty added by this site.