Question

Determine the first eight random numbers generated by using the linear congruential random number generator with a=c=7 and m=10. What is the period of this random number sequence.

29 Apr 2025
Answer :
Word Count : 355
We are given the Linear Congruential Generator (LCG) formula: $$ X_{n+1} = (aX_n + c) \mod m $$ Where: * $a = 7$ * $c = 7$ * $m = 10$ * Initial seed (let’s assume) $X_0 = 0$ — unless another value is specified, we usually start from 0. --- ### Step-by-step generation of first 8 random numbers: We will compute: $$ X_1 = (7 \cdot X_0 + 7) \mod 10 $$ $$ X_2 = (7 \cdot X_1 + 7) \mod 10 $$ ... up to $X_8$ _________ ___ _________ __________ _________ _________ _______.
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