If inequality 1 / (n + 1) + 1 / (n + 2) + +If 1 / (n + 2n) > m / 2100 holds for all natural numbers n greater than 1, then the maximum value of integer m is

If inequality 1 / (n + 1) + 1 / (n + 2) + +If 1 / (n + 2n) > m / 2100 holds for all natural numbers n greater than 1, then the maximum value of integer m is

It can be seen that the maximum value of M depends on the value of N on the left side of the equation. It can be deduced that when n = 2 is the maximum value on the left side of the equation, n = 2 is brought into the equation to solve. Finally, the maximum value of M is 2024

When n is a natural number, 1, 2, 3, 4 2n denotes______ Number, 2N-1______ Count

According to the definition of even number and odd number, 2n stands for even number and 2N-1 stands for odd number

According to the standard order of natural number from small to large, find 1, 3 (2n-1) (2n) (2n-2)… The reverse order number of 2

From 2 to 2n, first of all, the reverse number of 2 = 2, the number of numbers larger than 2 = (2n-1 + 1) / 2 = n, the reverse number of 4 is less than one, and so on, the reverse number of 2n is 0, and there are n + 1 numbers from 2 to 2n, according to the summation method of arithmetic sequence (Na0 + n (n-1) / 2), the answer is n (n-1) / 2