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trap101
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For n in N (Natural Numbers), use modular arithemetic to establish each of the following divisibility statements:
a) 7 | 52n + 3 (25n - 2)
Attempt: Well I've set up a mod 7 table and was figuring out the values from n = 0,...6 for the two individual expressions, then I was going to combine them. But I of course hit a rough patch when I got to 25n - 2. Since I'm in the Natural numbers, fractions do not exist, so how do I treat 25n - 2 when n = 0 ?
a) 7 | 52n + 3 (25n - 2)
Attempt: Well I've set up a mod 7 table and was figuring out the values from n = 0,...6 for the two individual expressions, then I was going to combine them. But I of course hit a rough patch when I got to 25n - 2. Since I'm in the Natural numbers, fractions do not exist, so how do I treat 25n - 2 when n = 0 ?