### Discrete math-proof-mathematical induction

Assignment Help Mathematics
##### Reference no: EM13132606

1. Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer.

2. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.

3. Use mathematical induction to show that 3 divides n^3+2n whenever n is a nonnegative integer.

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