hard · GMAT Quant
An algorithmic execution platform processes a state parameter X_n at iteration n defined by X_1 = 9 and X_n+1 = (X_n + 29) pmod90 for all n ≥ 1.
What is the value of X_600, and what is the smallest step index k ≥ 1 for which X_k is a multiple of 13?
- X_600 = 10 and k = 10
- X_600 = 10 and k = 14
- X_600 = 39 and k = 10
- X_600 = 10 and k = 18
- X_600 = 68 and k = 10
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