The sequence of numbers S = {s 1 , s 2 , s 3 } is defined

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The sequence of numbers S = {s1, s2, s3…} is defined by s1 = 2, s2 = 10, and sn = sn-1 sn-2 for each positive integer n greater than or equal to 3. For example, s3 = 102. What is the greatest value of n for which sn has 2,000 or fewer digits?

  1. 100
  2. 20
  3. 5
  4. 4
  5. 3
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