How to express positive even number set with description method?

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• 1. A set of all positive even numbers
• 2. For the nonempty subset a of the set M = {x | 1 ≤ x ≤ 10, X ∈ n}, let every element K in a be, 8. (2006 &; Shaoyang simulation, Hunan Province) the known set M = {x | 1 ≤ x ≤ 10, X ∈ n}, for its non empty subset a, multiply each element K in a by (- 1) k, and then sum (for example, a = {1,3,6}, the sum can be (- 1) &; 1 + (- 1) 3 &; 3 + (- 1) 6 &; 6 = 2), then for all non empty subsets of M, the sum of these sums is In all subsets of set M, 2 ^ 9 = 512 contain element 1. Similarly, it contains elements 2, 3 So for all the nonempty subsets of M, the sum of these sums is 2 ^ 9 (- 1 + 2-3 + 4 +...) -9+10)=5*2^9 (why does 2 ^ 9 = 512 contain element 1)
• 3. If K is an integer, we know that the univariate quadratic equation kx2 + (2k-1) x + k-1 = 0 has only integer roots, then K=______ ．
• 4. If K is a positive integer, then 2 times the 2K power of (- 2) and the 2K + 1 power of (- 2) =?
• 5. 1K is equal to the 10th power of 2. How much power is 1m equal to 2? How much power is 2K equal to 2? Why? I hope I can make it clear?
• 6. Given that K is greater than 1, B = 2K, a plus the square of C = 2K, AC = the fourth power of K minus 1, what kind of triangle is a triangle with a, B, C as sides
• 7. The plane equation passing through the point m (- 2,7,3) and parallel to the plane x-4y + 5z-1 = 0 is?
• 8. Given that the plane passes through two points a (1,2, - 1) and (- 5,2,7) and is parallel to the X axis, its equation is solved
• 9. ① 3 is the square root of, and the arithmetic square root of is. 2 if, then; if, then. 3 is known: in the formula, then. 4 when x, then
• 10. Factorization-x ^ M-X ^ M-1
• 11. Nonnegative even number set description method
• 12. The known sets a = {x | x ^ - X-2 > 0}, B = {x | 2x ^ + (2k + 5) x + 5k0}, B = {x | 2x ^ + (2k + 5) x + 5K}
• 13. The known set P = {X / 4 ≤ x P∩Q≠Q dial the wrong number
• 14. How to write even numbers greater than 3 and less than 11 in (set) Is it a {4,6,8,10} or B. if wrong, please correct
• 15. High school mathematics problems, a = {x = 2k-1, K ∈ Z}, B = {x = 2m + 1, m ∈ Z}, judge the relationship between the two sets More detailed process, thank you, I'm a novice
• 16. An is an arithmetic sequence, CN = an ^ 2-A (n + 1) ^ 2 (n ∈ n *) (1) Judge whether the sequence cn is an arithmetic sequence (2) If a1 + a3 + +A25 = 130, A2 + A4 +... + A26 = 143-13k (k is a constant), try to write the general term formula of the sequence CN
• 17. Given that the sum of the first n terms of the sequence {an} is Sn, and S (n + 1) = 4An + 2, A1 = 1, let CN = an / 2 ^ n, prove that the sequence {CN} is an arithmetic sequence
• 18. If {an} is an arithmetic sequence and D is a tolerance, then the new sequence formed by the sum of K items in this sequence will still be an arithmetic sequence, and the tolerance is DK ^ 2 Explain why the tolerance equals DK ^ 2
• 19. If we know the general term formula of arithmetic sequence {an} an = 3-2n, then its tolerance D is______ ．
• 20. If {an} is an arithmetic sequence with tolerance 1, then {a2n-1 + 2a2n} is () A. Isochromatic sequence with tolerance 3 B. isochromatic sequence with tolerance 4 C. isochromatic sequence with tolerance 6 D. isochromatic sequence with tolerance 9