Mathematics, 04.02.2021 18:10 jacobwaltom

Find the main errors in the following “Proofs” and write down your own correct proofs. Let k be an integer. If k > 0, then k
2 + 2k + 1 is composite.
“Proof:” For k = 2, k
2 + 2k + 1 = 22 + 2 · 2 + 1 = 9. But 9 = 3 · 3, and so 9 is
composite. Hence, the theorem is true.

Answers: 2

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Find the main errors in the following “Proofs” and write down your own correct proofs. Let k be an integer. If k > 0, then k 2 + 2k + 1 is composite. “Proof:” For k = 2, k 2 + 2k + 1 = 22 + 2 · 2 + 1 = 9. But 9 = 3 · 3, and so 9 is composite. Hence, the theorem is true.

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Another question on Mathematics

Find the main errors in the following “Proofs” and write down your own correct proofs. Let k be an integer. If k > 0, then k
2 + 2k + 1 is composite.
“Proof:” For k = 2, k
2 + 2k + 1 = 22 + 2 · 2 + 1 = 9. But 9 = 3 · 3, and so 9 is
composite. Hence, the theorem is true.