In the equal ratio sequence {an}, TN is the product of the first n terms. If T5 = 1, then there must be () A. a1=1B. a3=1C. a4=1D. a5=1
T 5 = a 1 · a 1q · a 1q 2 · a 1q 3 · a 1q 4 = (a 1q 2) 5 = 1, a 1q 2 = 1, a 3 = 1
In the equal ratio sequence {an}, TN is the product of the first n terms. If T5 = 1, then there must be ()
A. a1=1B. a3=1C. a4=1D. a5=1
T 5 = a 1 · a 1q · a 1q 2 · a 1q 3 · a 1q 4 = (a 1q 2) 5 = 1, a 1q 2 = 1, a 3 = 1
RELATED INFORMATIONS
- 1. In the arithmetic sequence {an}, if A1, A3 and A4 form an arithmetic sequence, then the common ratio of the arithmetic sequence is______ .
- 2. In {an}, an + 1 > an, a1 + A4 = 9, A2 * A3 = 8, S10 =?
- 3. In the known sequence (an), a1 + A2 = 9, a1a2a3 = 27, Sn =? I still can't find A1 and Q. how can I find them
- 4. It is known that SN is the sum of the first n terms of a sequence, and Sn = PN determines whether an is an equal ratio sequence
- 5. Let the first term A1 of the arithmetic sequence {an} be a, and the sum of the first n terms be SN. If s1s2s3 is a proportional sequence, find the general term formula of the sequence {an} …
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- 7. It is known that {an} is an equal ratio sequence, and Sn is the sum of its first n terms. If A2 * A3 = 2A1, and the median of the difference between A4 and 2a7 is 5 / 4, then S5=
- 8. 1. In the arithmetic sequence {an}, if 2A1 = - A2 is known, then the common ratio is? 2. In the arithmetic sequence {an}, A1 = 3, A100 = 36, then A3 + A98 =? 3. In the sequence {an}, if an + 1-an = 1 / 2 (n = 1,2, ···), and A1 = 2, then A101 =? 4. In the arithmetic sequence {an}, a1 + A2 = 3, A3 + A4 = 6, then A7 + A8 =? 5. If the third and fourth terms of an equal ratio sequence {an} are 4 and 8 respectively, then the first and fifth terms are? 6. Given the sequence {an}, an = PN + Q (P, q are constants, you ∈ n *), where a1 = 2, A17 = 66, find (1) the general term formula an. (2) the first 10 terms and S10
- 9. Given the arithmetic sequence {an}, A1 = 1, an = a (n + 1) + 2 (n ≥ 1), then what is A100?
- 10. In the arithmetic sequence an, a1 + A2 +. + A50 = 200, A51 + a52 +... + A100 = 2700, then the value of A1 is?
- 11. In the sequence {an}, A1 = 3, an = 2A (n-1) + n-2 (n is equal to 2, and N belongs to n positive), it is proved that the sequence {an + n} is an equal ratio sequence In the sequence {an}, A1 = 3, an = 2A (n-1) + n-2 (n is greater than or equal to 2, and N belongs to n positive), it is proved that the sequence {an + n} is an equal ratio sequence, and the general term formula of {an} is obtained
- 12. The sum of the first n terms of the proportional sequence {an} is Sn if s2n = 3 (a1 + a3 +...) +A2n-1), a1a2a3 = 8, then A10 equals () A. -512B. 1024C. -1024D. 512
- 13. Given that the sum of the first n terms of the equal ratio sequence {an} is Sn = (2 ^ n) - 1, find the sum of the first n terms of the sequence {(an) ^ 2} and TN
- 14. In the arithmetic sequence {an}, a1 + a3 + A5 = 18, an-4 + An-2 + an = 108, Sn = 420, then n=______ .
- 15. It is known that in the arithmetic sequence an, A4 = 4, the first 10 terms and S10 = 10, BN = (1 / C) are to the power of an, (C is a positive constant.) (1) Find an (2) It is proved that BN is an equal ratio sequence (3) Finding the first n terms and TN of sequence BN
- 16. Let f (x) satisfy 2F (x) - f (1 / x) = 4x-2 / x + 1, sequence {an} and {BN} satisfy A1 = 1, a (n + 1) - 2An = f (n), BN = a (n + 1) - an Finding the analytic expression of F (x) The general term formula of BN Is to compare the size of 2An and BN, and prove that
- 17. Given that the sum of the first n terms of sequence {an} A1 = 2 is Sn and satisfies Sn sn-1 = 3an, the general term formula an of sequence {an} is obtained Given that the sum of the first n terms of the sequence {an} A1 = 2 is Sn and satisfies Sn + sn-1 = 3an, the general term formula an of the sequence {an} is obtained
- 18. In the sequence an, A1 = in, a (n + 1) = 2An + 3n-4, in is a real number. For any in, it is proved that an is not an equal ratio sequence BN = a (n + 1) - an + 3, try to judge whether BN is an equal ratio sequence The formula of finding the same term of an
- 19. It is known that an = 2A (n-1) + 2 ^ n-1 (n ≥ 2) A1 = 5, A2 = 13, A3 = 33, A4 = 81. {(an + α) / 2 ^ n} is an arithmetic sequence, and a is obtained
- 20. It is known that the sum of the first n terms of the sequence {an} is Sn, and a1 + 2A2 + 3a3