- #1
mr_coffee
- 1,629
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Hello everyone. I'm wondering if I'm allowed to use a counter example to disprove this. I'm not sure if I'm understanding the statement correctly though. THe directions are:
Determine whether the statement is true or false. Justify your answer with a rpoof or a counterexample.
Here is the question:
FOr all integers n, if n is prime then (-1)^n = -1.
If it says for ALL integers n, doesn't this mean negatives as well? If it said for All positive integers than wouldn't it be true? But if i let n = -1, i would get (-1)^(-1) = 1, not -1. But if they said, for all integers n, if n is prime..does this mean they are saying n > 1?
Determine whether the statement is true or false. Justify your answer with a rpoof or a counterexample.
Here is the question:
FOr all integers n, if n is prime then (-1)^n = -1.
If it says for ALL integers n, doesn't this mean negatives as well? If it said for All positive integers than wouldn't it be true? But if i let n = -1, i would get (-1)^(-1) = 1, not -1. But if they said, for all integers n, if n is prime..does this mean they are saying n > 1?