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anonymous

  • one year ago

Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.

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  1. IrishBoy123
    • one year ago
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    1] test for n = 1 2] assume true for k = 1 so assumed \(\frac{k^3 + 2k}{3} \in Z\) 3] now see what you can do with \(\frac{(k+1)^3 + 2(k+1)}{3}\), ie with k replaced by k+1 i simply expanded out the numerator and it just came together

  2. anonymous
    • one year ago
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    thank you

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