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

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• 1. 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
• 2. 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
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• 9. 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)
• 10. 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=______ ．
• 11. 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
• 12. If we know the general term formula of arithmetic sequence {an} an = 3-2n, then its tolerance D is______ ．
• 13. 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
• 14. What does the K in S = {β | β = α + K · 360 °, K ∈ Z} stand for
• 15. The number of common divisors of 9 and 24 is (). A.1 B.2 C.3 D.4 1 / 5 of a is equal to 30% of B, and the ratio of B to a is (). A.3:2 b.2:3 c.5:6 d.3:4 cut a square of 1 cubic centimeter into two rectangles, Surface area () A. increase 2 square centimeter B. increase 1 square centimeter C. no increase D. unable to decide 1 and 4 / 5 hours = () minutes () / 24 = 3 / 8-24: (). Calculation question. 3048 + 204 * 14 / 56 2 and 3 / 5 + 4.6 + 3 and 2 / 5 + 5.41 / (4 and 1 / 7-0.05 * 70) * 1 and 2 / 7 (0.36 * 7.4 + 0.36 * 2.6) * 3 and 4 / 50.56 * (2 and 5 / 12-1 and 19 / 60 + 2.375) / 0.514.7 * 98 + 14.7 * 3-14.7 Especially the calculation problem, thank you first,
• 16. Among the following groups of numbers, only the two numbers with the common factor 1 are () A. 13 and 91b. 26 and 18C. 9 and 85
• 17. 2Sin (2 * π / 3 + θ) + 2 = 4, finally we get π / - 6 + 2K π. How can we get it! Given that the maximum value of the function y = sin (W + θ) + m is 4, the minimum value is 0, the minimum positive period is π / 2, and π / 3 is an axis of symmetry of its image, then the analytic expressions satisfying the conditions in the following expressions are
• 18. Let a = {α | α = 2K π + π / 3, K ∈ Z} be the set of angles α Finding all angles of interval [- 4 π, 4 π] in set a
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