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We prove by induction. The base case 13 12 is true. Suppose the statement holds for n. So 13 23 . where the second " follows from 1 2 for n 1. By the displayed formula, 2 . We now prove the statement. 4 2 Thus the induction step is also proven, and the claim is true. This aspect of Prove That 13 23 N3 1 2 N2 plays a vital role in practical applications.

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Moreover, step 1 To show 1 3 2 3 3 3 n 3 (n (n 1) 2) 2. Prove this by using mathematical induction. This aspect of Prove That 13 23 N3 1 2 N2 plays a vital role in practical applications.

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Furthermore, we prove by induction. The base case 13 12 is true. Suppose the statement holds for n. So 13 23 . where the second " follows from 1 2 for n 1. By the displayed formula, 2 . We now prove the statement. 4 2 Thus the induction step is also proven, and the claim is true. This aspect of Prove That 13 23 N3 1 2 N2 plays a vital role in practical applications.

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