Sum of the first n terms of sequence: SN = 3an-3 ^ (n + 1) (1) prove that (a (n + 1) - 2 / 3an) is an equal ratio sequence (2) formula for finding an general term (3) compare Sn / 3 ^ n with 6N / (2n + 1) It's OK to ask the first question first,

RELATED INFORMATIONS

• 1. Given that the sequence {an}, Sn is the sum of the first n terms, and satisfies 3an = 2Sn + N, n is a positive integer, it is proved that the sequence {an + 1 / 2} is an equal ratio sequence 1. Given the sequence {an}, Sn is the sum of its first n terms, and satisfies 3an = 2Sn + N, n is a positive integer (1) And prove that the sequence {an + 1 / 2} is equal ratio sequence; (2) Note TN = S1 + S2 + S3 +. + Sn and find the expression of TN 2. It is known that the sequence {an} satisfies A1 = 1. A2 = 2, a (n + 2) = an + a (n + 1) / 2, and N is a positive integer (1) Let BN = a (n + 1) - an and prove that {BN} is an equal ratio sequence (2) Find the general expression of {an} Find the answer to the second question~
• 2. Let Sn be the sum of the first n terms of the sequence an, and the point P (an, Sn) (n ∈ n +, n ≥ 1) be on the straight line y = 2x-2. (I) find the general term formula of the sequence an; (II) mark BN = 2 (1 − 1An), the sum of the first n terms of the sequence BN is TN, and find the minimum value of n such that TN > 2011; (III) let the positive sequence CN satisfy log2an + 1 = (CN) n + 1, and find the maximum term in the sequence CN
• 3. Let the sum of the first n terms of the sequence {an} be Sn, and the points (n, Sn / N) (n belongs to n) are all on the graph of function y = 1 / 2x-1 / 2 Let the sum of the first n terms of the sequence {an} be Sn, and the points (n, Sn / N) (n belongs to n) are all on the image of the function y = 1 / 2x-1 / 2, (1) Find the general term formula of sequence {an};
• 4. It is known that the sum of the first n terms of sequence an is Sn, and the point (an, Sn) (n ∈ n) is on the image of function y = 18-2x 1 find the formula of sequence an Let BN = lgan, try to judge whether BN is equal difference sequence or equal ratio sequence, and prove your conclusion 3 find the n value of the first n terms and the maximum value of the sequence BN in 2
• 5. General term formula of sequence, an = - 2 [n - (- 1 / 2) ^ n], for S10 and Sn
• 6. Let the arithmetic sequence {an}, A5 = - 3, S10 = - 40 (I) find the general term formula of the sequence {an}; (II) if the sequence {ABN} is an equal ratio sequence, B1 = 5, B2 = 8, find the first n terms and TN of the sequence {BN}
• 7. If an = 2 / N (n + 2), then S10 is equal to SN An = 2 divided by (n times N + 2)
• 8. Sequence {an}, general term formula an = 1 / (square-2 of 8N), then the sum of the first n terms SN=
• 9. If the general term of the sequence {a n} is an = 8N / (2n-1) ^ 2 (2n + 1) ^ 2, can you guess the sum of the first n terms and Sn?
• 10. It is known that the general term formula of sequence {an} is an = 8N (4n2 − 1) 2, and Sn is the sum of the first n terms. The values of S1, S2 and S3 are calculated. According to the calculation results, the formula for calculating SN is deduced and proved by mathematical induction
• 11. The sum of the first n terms of the sequence an is Sn, 2Sn + 3 = 3an, (n belongs to N +). The formula for finding the general term of an
• 12. If the sum of the first n terms of the sequence {an} is Sn and 3an = 3 + 2Sn, the general term formula of an is obtained
• 13. Given that the sequence {an}, Sn is the sum of the first n terms, satisfying the relation 2Sn = 3an-3, the general term formula of {an} can be obtained
• 14. Given that the sum of the first n terms of the sequence {an} is Sn, and 2Sn = 3an-1, n *, find the general term formula of an
• 15. If 2 ^ m = a, 2 ^ n = B, 2 ^ m + N + 3 is expressed by the formula containing a and B
• 16. If (a + b) ^ 2 = m, (a-b) ^ 2 = n, use the formula containing m, n to express: (AB) ^ 3
• 17. ① It is known that: (a + b) 2 = m, (a-b) 2 = n, a and#179; B and#179; are represented by formulas containing m and n
• 18. The square of X in M of circle + y in N and the square of X in a of hyperbola - Y in B = 1 have the same focus F1, F2 , P is the intersection of two curves, then | Pf1 | PF2 | = () a, M-A, B, one-half (M-A) C, square of M-A, Square D of M-A, root sign m-root sign a
• 19. If a = m / N + n / m, B = m / N-N / m, find the value of a-square-b-square
• 20. Given that M + 1 / M = 3, find the square of the sum of squares of M + 1 / M (m-1 / M)