Preferably by induction


1. Prove preferably by induction that 319 divides 2^4n.3^2n+5^2n.7^n for all odd numbers n

2. Prove preferably by induction that 75^n+30^n-5^n-2^n is divisible by 224 if n is even and is divisible by 98 if n is odd

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Mathematics: Preferably by induction
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