For which natural K does the number reach its maximum value?
Let’s consider the sequence . Note that But Consequently, our inequality holds if and only if n ≤ 2000. This means that the sequence up to the 2001th term increases and then decreases.
For n = 2001.
. Note that 
But 
Consequently, our inequality holds if and only if n ≤ 2000. This means that the sequence up to the 2001th term increases and then decreases.
reach its maximum value?