The sequence of numbers fff$S={s_1,s_2,s_3…}$/fff is defined by fff\(s_1=2,s

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The sequence of numbers

$S={s_1,s_2,s_3…}$ is defined by

$s_1=2,s_2=10$ , and for each positive integer n greater than or equal to 3. For example,

$s_3=102$ . What is the greatest value of n for which sn has 2,000 or fewer digits?

A.100

B.20

C.5

D.4

E.3

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