Divide natural number into odd number and even number according to (). How to fill in brackets

Is it divisible by two

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1. When n is a natural number, 2n + 1 must be odd, right?
2. If n is used to represent a natural number greater than a, then "2n - 1" must be odd
3. If one of the three consecutive odd numbers is 2n + 1, then the sum of the three odd numbers is 2n + 1______ ．
4. If a is used to represent non-zero natural number, then even number can be expressed as () and odd number ()
5. Is 0 a natural number? What is a natural number? Is 0 even? Is 0 odd~~~~~~~~
6. There are 20 natural numbers, the sum of which is 1999. In these numbers, the number of odd numbers is more than that of even numbers, so how many even numbers are there at most?
7. The sum of 100 natural numbers is 10000. In these numbers, the number of odd numbers is more than that of even numbers. Then, the number of odd numbers is at most 10000______ An even number
8. There are 20 natural numbers, among which the odd number is more than the even number, and the sum of them is 100. How many of these 20 natural numbers are even at least?
9. Prime numbers within 20 are______ The total number within 20 is______ The odd numbers within 20 are______ Even numbers within 20 have______ ．
10. All multiples of 17 in natural numbers are even, even and odd, even and even In natural numbers, all multiples of 17 are even numbers, even numbers and odd numbers, and even numbers
11. If n is a natural number, what does 2n + 1 represent? A, even number B, odd number C, prime number d, composite number
12. Prove inequality 3 ^ n ≥ n ^ 3 (n ≥ 3) RT It's better not to use derivatives N is a positive integer
13. A difficult problem of inequality, please provide some ideas to prove (2 / 1 ^ 4 + 1) (2 / 2 ^ 4 + 1) (2 / 3 ^ 4 + 1) (2/n^4+1)
14. Prove inequality: (2-1) / (2 ^ 2-1) + (2 ^ 2-1) / (2 ^ 3-1) +. + (2 ^ n-1) / (2 ^ n + 1) - 1) > n / 2-1 / 3
15. It is proved by mathematical induction that when there is always 2 ^ n > n ^ 3 for a large enough natural number n, the first value no should be the minimum when the first step inequality is established
16. Inequality expansion and contraction. Do it before tomorrow morning, add 50 points. Prove: 1 / 2n ^ 2 + 3N + 1 is less than 5 / 12, the front 2n ^ 2 + 3N + 1 is the denominator It is proved that 1 / 2n ^ 2 + 3N + 1 is less than 5 / 12 N, and 2n ^ 2 + 3N + 1 before N + is the denominator Sum.
17. How to divide 195 into the sum of several different natural numbers, which requires the product of these natural numbers to be as large as possible?
18. How to divide 31 into the sum of several different natural numbers, which requires the product of these natural numbers to be as large as possible?
19. How to divide 30 into several different natural numbers and ask the product of these natural numbers to be as large as possible?
20. How to divide 16 into the sum of several natural numbers, which requires the product of these natural numbers to be as large as possible? My answer is 324, Montaigne,