hard · GMAT Quant
A financial clearinghouse system manages a settlement sequence number C_n at transaction step n defined by C_1 = 16 and C_n+1 = (C_n + 32) pmod105 for all n ≥ 1.
What is the value of C_630, and what is the smallest step index k ≥ 1 for which C_k is a multiple of 15?
- C_630 = 89 and k = 8
- C_630 = 89 and k = 53
- C_630 = 57 and k = 8
- C_630 = 89 and k = 83
- C_630 = 73 and k = 8
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