1966 IMO Problems/Problem 4
Problem
Prove that for every natural number , and for every real number (; any integer)
Solution
First, we prove .
LHS
Using the above formula, we can rewrite the original series as
.
Which gives us the desired answer of .
See Also
1966 IMO (Problems) • Resources | ||
Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
All IMO Problems and Solutions |