In the sequence, A1 = 8, A4 = 2, and satisfy an + 2-2an + 1 + an = 0. It is proved that {an} is an arithmetic sequence

RELATED INFORMATIONS

• 1. Given the sequence {an}, A1 = 1, a (n + 1) = an + 2 / an + 1. Prove that when n is greater than or equal to 2 and N belongs to positive integer, there is 1
• 2. 1. Given the sequence {an} A1 = - 2, an + 1 = (1 + an) / (1-an), then a2011= A.-2 B.-1/3 C.-0.5 D.0.5
• 3. It is known that the real number sequence an is equal ratio sequence and the common ratio is Q It is known that the real number sequence a (n) is an equal ratio sequence and the common ratio is Q. for all positive integers n > 1, there is: ((a (n + 1)) (s (n-1)) + (a (n-1)) (s (n + 1))) / 2
• 4. Let {BN} and {an} satisfy {BN} = 3an, n ∈ n *, and A1 = 1. (1) judge what kind of sequence {an} is and give the proof; (2) if CN = 1anan + 1, find the sum of the first n terms of {CN}
• 5. Given that the sum of the first n terms in the sequence an is Sn, satisfying Sn = 2an-1 and BN = 1-log1-2an, the general term formula of the sequence (an) and (BN) can be obtained Let the sum of n terms of sequence (anbn) be TN, and find the intersection of TN
• 6. Let the sum of the first n terms of the sequence an be Sn, and S1 = 2, Sn + 1-sn = Sn + 2 = BN (n ∈ n *) 1 be positive: the sequence BN is an equal ratio sequence; Let the sum of the first n terms of the sequence an be Sn, and S1 = 2, Sn + 1-sn = Sn + 2 = BN (n ∈ n *) 1 be positive: the sequence BN is an equal ratio sequence The second question is to find the general term formula of sequence an To the left of the equal sign is small (n + 1)
• 7. Given sequence {an}, where a1 = 1, an = 3n-1 · an-1 (n ≥ 2, n ∈ n), the first n terms of sequence {BN} and Sn = log3 (an9n) where n ∈ n *. (1) find the general term formula of sequence {an}; (2) find the general term formula of sequence {BN}; (3) find TN = | B1 | + | B2 | + +|bn|．
• 8. If the sequence {an} is an arithmetic sequence and the first term A1 > 0, a2005 + a2006 > 0, the maximum natural number n of a2005a20060 is
• 9. In sequence an, A1 = 2, an = 1 / 3A (n-1) - 2 (n is greater than or equal to 2), then a2013 is
• 10. In the sequence {an} (subscript, the same after), A1 = 1, A2 = 2, the sequence {Anan + 1} is an equal ratio sequence with common ratio Q (Q > 0) Problem: find the first 2n terms and s2n of sequence {an}
• 11. Let the sum of the first n terms of the sequence {an} be Sn, and (3-m) Sn + 2man = m + 3 (n ∈ n *). Where m is a constant, m ≠ - 3 and m ≠ 0, please solve one step (2) If the common ratio of sequence {an} satisfies q = f (m) and B1 = A1, BN = 32 F (bn-1) (n ∈ n *, n ≥ 2) bn }For the arithmetic sequence, and BN If B 1 = a 1 = 1, q = f (m) = 2m m + 3, n ∈ N and N ≥ 2, BN = 32 f (bn-1) = 32 & # 8226; 2bn-1 bn-1 + 3, can we explain it? (# 8658); we get bnbn-1 + 3bn = 3bn-1 & # 8658; 1bn-1 bn-1 = 13.; {1bn} is the first term of 1, and 13 is the arithmetic sequence of tolerance, so BN = 3N + 2 Proving {1 / BN} as arithmetic sequence And find BN
• 12. It is known that {an} is an equal ratio sequence with the first term A1, the common ratio Q, (q is not equal to 1, greater than 0), the sum of the first n terms is Sn, 5 * S2 = 4 * S4, let BN = q + Sn (1) It is known that {an} is an equal ratio sequence whose first term is A1, common ratio is Q, (q is not equal to 1, greater than 0). The sum of the first n terms is Sn, and 5 * S2 = 4 * S4. Let BN = q + Sn (1) find out whether the Q (2) sequence BN can be an equal ratio sequence. If we can find out Q, we can't give the reason,
• 13. The first n terms and Sn of the equal ratio sequence {an} belong to N + for any n, and the point (n, Sn) is in the function y = B ^ x + R (b > 0, and B is not equal to 1, R constant) (1) Finding the value of R (2) When B = 2, denote BN = n + 1 / 4An (n belongs to N +) and find the first n terms and TN of the sequence {BN}
• 14. Given the first n terms of {an} and Sn = an2 + BN (a is not equal to 0), find the general term formula of {an} and prove that the sequence is arithmetic sequence
• 15. Let the sum of the first n terms of the arithmetic sequence {an} be Sn, if S9 = 72, then A2 + A4 + A9 = () A. 12B. 18C. 24D. 36
• 16. Let Sn = a1 + A2 + +An, let TN = S1 + S2 + +SNN is called A1, A2 The "ideal number" of the column number a 1, a 2 The ideal number of a 500 is 2004, then 8, A1, A2 The ideal number of a 500 is () A. 2004B. 2006C. 2008D. 2010
• 17. If a ≠ B, and a, x1, X2, B and a, Y1, Y2, Y3, B are arithmetic sequences, then (x1-x2) / (y1-y2)=
• 18. Given that 1, x1, X2, 7 are equal difference sequence, 1, Y1, Y2, 8 are equal ratio sequence, and points m (x1, Y1), n (X2, Y2), then the equation of the middle perpendicular of line Mn is______ ．
• 19. Given that the average of two groups of data x1, X2,. Xn is 5, and the average of Y1, Y2,. Yn is 2, then the average of ax1 + by1, AX2 + BY2. Axn + byn And explain the reason
• 20. It is known that x1, x2. Xn, the average number is x-pull, while ax1 + B, AX2 + B. axn + B, the average number is y-pull, which is expressed by the algebraic formula containing x-pull