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\(S\) is the infinite sequence \(S_1 = 2, S_2 = 22, S_3 = 222,\ldots, S_k = S_{k-1} + 2(10k-1).\) If \(p\) is the sum of the first \(30\) terms of \(S,\) what is the eleventh digit of \(p,\) counting right to left from the units digit?
A) 1
B) 2
C) 4
D) 6
E) 9
Answer: C
Source: Manhattan GMAT
A) 1
B) 2
C) 4
D) 6
E) 9
Answer: C
Source: Manhattan GMAT
