It is known that the first term of positive term sequence an is 1, and for any n belongs to N, 1 / A1A2 + 1 / a2a3 + 1 / Anan + 1 = n / a1an + 1, the sum of the first 10 items is 55 Let BN = 1 / Anan + 2, find the first n terms of BN and Sn

Put 1 / A1A2 + 1 / a2a3 + 1 / Anan + 1 = n / a1an + 1 as the first formula, and then replace n with n-1 to get the second formula 1 / A1A2 + 1 / a2a3 + 1 / an-1an = n - / a1an by subtracting the two formulas from each other, we can get n * an - an + 1 (n-1) = 1

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