You are given something that looks like a proof You need to

You are given something that looks like a proof. You need to decide if it correct or not. (It\'s most likely not). If it is not correct you need to clearly identify the error and explain why it is an error, then give a correct proof.

2. Prove that 5n is divisible by 5 (All numbers n) > 1
Base case: 5^1 = 5 which is divisible by 5, so true.
Assume 5^n is divisible by 5. Then 5^n = 5k
We want to show 5^(n+1) = 5j
Dividing:
5 = 5^(n+1)/5^n = 5j/5k = j/k so j = 5k so j is an integer.
Done.

Solution

This proof is correct.