Browse · harp
Printimc
counting and probability intermediate
Problem
A sequence of natural numbers is constructed by listing the first , then skipping one, listing the next , skipping , listing , skipping , and on the th iteration, listing and skipping . The sequence begins . What is the th number in the sequence?
(A)
(B)
(C)
(D)
Solution
If we list the rows by iterations, then we get etc. so that the th number is the th number on the th row because . The last number of the th row (when including the numbers skipped) is , (we add the because of the numbers we skip) so our answer is .
Final answer
A