Given that the sequence {an} satisfies A1 = 1, an + 1 = 2An + 1 (n ∈ n +), (1) let BN = an + 1, prove that the sequence {BN} is an equal ratio sequence; (2) find the expression of an

(1) ∵ A1 = 1, ∵ a1 + 1 ≠ 0. ∵ an + 1 = 2An + 1 (n ∈ n +), ∵ an + 1 + 1 = 2 (an + 1), and an + 1 ≠ 0. ∵ an + 1 + 1An + 1 = 2, n ∈ n *.∵ BN = an + 1, ∵ B1 = 2, BN + 1bn = 2

RELATED INFORMATIONS

1. In the equal ratio sequence {an}, if a1 + A2 + a3 = 7, a1a2a3 = 8, and the common ratio is greater than 1, find the first sequence N and Sn of the sequence
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4. Given that the sequence {an} is an arithmetic sequence, the sum of the first n terms Sn = n ^ 2, find the value of a1 + a3 + A5 + A7 +. + a25
5. If the tolerance of arithmetic sequence {an} d = 1 / 2, a1 + A2 + a3... + A99 = 60, calculate S100
6. In the arithmetic sequence {an}, d = 12, S100 = 145, then a1 + a3 + A5 + +The value of A99 is () A. 57B. 58C. 59D. 60
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8. It is known that {an} is an arithmetic sequence with a tolerance of 2, and A1, A3 and A4 are proportional sequences, then the sum of the first nine terms of the sequence {an} is equal to () A. 0B. 8C. 144D. 162
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18. In the equal ratio sequence an, a1 + a3 = 10, A4 + A6 = 5 / 4, the value of common ratio q is
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20. In the arithmetic sequence {an}, A1 = 60. A17 = 12, find the sum of the first n terms of the sequence {an}