It is known that {an} is an arithmetic sequence. When m + n = P + Q, is there necessarily am + an = AP + AQ?

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• 1. In the arithmetic sequence {an}, M-N = Q-P, then am an = AQ AP
• 2. If M + n = P + Q, M N P Q ∈ n *, there is am + an = AP + AQ in the arithmetic sequence, what about in the arithmetic sequence?
• 3. If M + n = P + Q + R, am + an = AP + AQ + Ar holds?
• 4. In the arithmetic sequence, if M + n = P, then am + an = AP holds?
• 5. In the arithmetic sequence, if M + n = P, then am + an = AP? In the arithmetic sequence, if M-N = P, then am an = AP?
• 6. How to extend m + n = P + Q AP + AQ = am + an to three terms in arithmetic sequence
• 7. It is known that the positive term sequence {an}, {BN} satisfies the following conditions: for any positive integer n, an, BN, a (n + 1) are equal difference sequence, BN, a (n + 1), B (n + 1) are equal ratio sequence, And A1 = 10, A2 = 15 Verification: sequence (root BN) is arithmetic sequence General formula for solving sequence {an}, {BN} Let Sn = 1 / (A1) + 1 / (A2) + 1 / (A3) +. 1 / (an) for any positive integer n, the inequality 2asn
• 8. The sum of the first n terms of the arithmetic sequence {an} is Sn, and a4-a2 = 8, A3 + A5 = 26. Note TN = snn2, if there is a positive integer m, so that TN ≤ m holds for all positive integers n, then the minimum value of M is______ ．
• 9. It is known that the arithmetic sequence {an} satisfies the following conditions: A3 + A4 = 16, A4 + A5 = 20, and the sum of the first n terms of {an} is SN (I) find SN (II) finding the first n terms and TN of sequence {1 / Sn} I can do the first question,
• 10. Given that the sum of the first n terms of two arithmetic sequences {an} and {BN} is an and BN respectively, and anbn = 7n + 45N + 3, then the number of positive integers n with anbn as an integer is () A. 2B. 3C. 4D. 5
• 11. It is known that the sequence {an} is an equal ratio sequence, m, N, P ∈ n *, and m, N, P is an equal difference sequence
• 12. If {an} is an arithmetic sequence, it is proved that {2 ^ an} is an arithmetic sequence
• 13. It is known that the sequence {an} is an arithmetic sequence, and the sequence AK1, ak2, ak3 ,akn,… It's just an equal ratio sequence, Where K1 = 1, K2 = 5, K3 = 17 1) Find kn; 2) Find the first n terms and TN of sequence {kn}
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• 16. In the triangular pyramid v-abc, VA = VB = AC = BC
• 17. In the triangular pyramid v-abc, VO ⊥ plane ABC, O ∈ CD, VA = VB, ad = BD. it is proved that CD ⊥ AB and AC = BC
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• 19. Positive integer solutions of the system of quadratic equations 3x + 4Y = 11
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