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Let Sn​ be the sum of the first n terms of an arithmetic sequence with first term u1​ and common difference d, where u1​>d.
S1​,S3​ and S8​ are consecutive terms in a geometric sequence with common ratio r.
Find the value of r.
It is given that the first term of the arithmetic sequence is 3, and that the sum of the first k terms of the geometric series is greater than 104.
Find the smallest possible value of k.
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