SOLUTION: Which of th following statements is(are) true for all positive integers 1) 13^n+10 is divisible by 2 2) 7^n+11 is divisible by 4 How to i figure out if these are true

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Question 618157: Which of th following statements is(are) true for all positive integers

1) 13^n+10 is divisible by 2
2) 7^n+11 is divisible by 4
How to i figure out if these are true
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Which of th following statements is(are) true for all positive integers

1) 13^n+10 is divisible by 2
Whether the exponent is n or n+10, this will always give an odd number, so it's false.
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2) 7^n+11 is divisible by 4
If the exponent is n+11, it will be an odd number --> false.
If the exponent is n, then one counter-example will prove it false.
7^3 + 11 = 354 --> false