An integer that can be divided by two is called an even number, and an integer that cannot be divided by two is called an odd number?
We know that an integer divisible by 2 is called an even number, and an integer that cannot be divisible by 2 is called an odd number. Then any even number can be expressed as 2n with the letter N, and any odd number can be expressed as 2n + 1 with the letter n
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- 1. If n is a natural number and any even or odd number is represented by a formula containing N, then even number is odd number and even number is odd number when n = 5
- 2. It is proved that if n > 0, D divides 2n ^ 2, then n ^ 2 + D is not a complete square number
- 3. There is such a natural number: it adds 1 to be a multiple of 2, adds 2 to be a multiple of 3, adds 3 to be a multiple of 4, and adds 4 to be a multiple Five times, plus five is a multiple of six, plus six is a multiple of seven, in this natural number, except for one, the smallest is______ .
- 4. There is a natural number, it adds 1 is a multiple of 2. Add 2 is a multiple of 3, add 3 is a multiple of 4, add 4 is a multiple of 5, add 5 is a multiple of 6, add 6 is a multiple of 7, then why add 0 after 2 * 3 * 4 * 5 * 6 * 7? It's 1, not 0. Wrong number
- 5. Let n be a natural number, and try to explain that the square difference between N + 5 and n-3 must be a multiple of 16?
- 6. There are three continuous natural numbers. The sum of the square difference of the larger and smaller numbers and the middle natural number must be a multiple of () There is an option in the multiple choice question, a = 0?
- 7. Please prove that for any n natural numbers, one or the sum of several numbers must be a multiple of n
- 8. If the square of a natural number is a four digit number, a thousand digit number is a word, a four digit number, and a five digit number, then the natural number is a four digit number___
- 9. The square of a natural number is a four digit number, the thousand digit number is 4, and the five digit number is 5______ .
- 10. In natural numbers with a single digit of 2, there are______ A square number
- 11. If n is an integer, use a formula containing N: even numbers can be expressed as______ The odd number can be expressed as______ .
- 12. N is an integer, and an algebraic expression containing N is used to express that two consecutive odd numbers are integers______ Two consecutive even numbers are______ .
- 13. If the letter N is used to represent an integer, then the odd number is () and the even number is ()
- 14. For the natural number 1,2,3,..., n has 1 & sup3; + 2 & sup3; + 3 & sup3; +... + n & sup3; = [n (n + 1) / 2] & sup2;, that is 1 & sup3; + 2 & sup3+ For this equation, we propose a question, if the sequence {an}, has an > 0, and satisfies the equation (A1 & sup3; + A2 & sup3; +. + an & sup3;) = (a1 + A2 + a3 +.. + an) & sup2;, is an = n tenable? If it is tenable, prove it; otherwise, give a counter example
- 15. Observe the following equation: 1 & sup2; - 0 & sup2; = 1,2 & sup2; - 1 & sup2; = 3,3 & sup2; - 2 & sup2; = 5,4 & sup2; - 3 & sup2; = 7 With the natural number n
- 16. A is a non-zero natural number. In the following formula () has the largest number, a divided by one tenth, four tenths multiplied by a, and a divided by five fourths. Why
- 17. A is a non-zero natural number. The largest number in the following formula is? A: 2 / 5 B. a multiplied by 2 / 5 C. A is 7 / 5
- 18. A is a non-zero natural number. The largest number in the following formula is () A. A × 3 / 4 B.A △ 3 / 4 C.A △ 1 and 1 / 3
- 19. A is a non-zero natural number, the largest of which is 1. Ax 3 / 4 2. Ax1 3. A / 1 4. A / 3 / 4
- 20. The product of natural number a multiplied by 168 is a complete square number, and the minimum value of a is obtained