Prove that for each n N 7 divides 62n 8 If you do not know w

Prove that for each n N, 7 divides 62n 8. If you do not know what “divides” means, you can look it up in the text– it is in the index.

Solution

for n = 1, n belongs to N,

62n - 8 = 62*1 - 8 = 54,

given that we have to prove

7 divides 62n - 8

for n = 1

7 divides 54,

Now,

54/7 = 7.714

So 7 does not divides 62n - 8.

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