Create a proof similiar to this one using mathematical induction PLEASE design as a 2 column proof like the one in the picture n(n 1) n(nuo any 3 For each positive integer 1 2 2 3 Let Sn) 1 2 2 3 n(n 1) SA 1(1 1)(1 2) 3 Basis step 1 2 2 1(2)(3) 3 L 2 PE U Inductive Step 1 S(n) 2 2 3 (n 1) def of Sh) 2 S(n 1) 12 2 3 n(n 1)(n 1Yw 2) def of senti) 3 5() n(h)(n 2) inductive hypothesis 4 Sid 56) (n (642) 5 5(41) (naD( 2) 6 Din 2) 6 40 1) (na 13m2) ) factor out (n 1)(n 2) 7 564) (n 1 2) ,) lemmon devominator 1) 2) by 7 by 122 by 3 24 3 3 this we we prove the claim holds for nt1

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Create a proof similiar to this one using mathematical induction  PLEASE design as a 2 column proof like the one in the picture    n(n 1)   n(nuo any 3 For each positive integer 1 2 2 3  Let Sn)   1 2 2 3      n(n 1) SA  1(1 1)(1 2) 3 Basis step 1 2 2 1(2)(3) 3 L 2 PE U Inductive Step 1  S(n)   2 2 3    (n 1) def of Sh) 2  S(n 1)   12 2 3    n(n 1)(n 1Yw 2) def of senti) 3  5()   n(h)(n 2) inductive hypothesis 4  Sid 56)   (n (642) 5 5(41)  (naD( 2) 6  Din 2) 6  40  1)   (na 13m2)  ) factor out (n 1)(n 2) 7 564)  (n 1  2)  ,) lemmon devominator  1)   2) by 7  by 122  by 3 24  3 3 this we we prove the claim holds for nt1

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Create a proof similiar to this one using mathematical induction. PLEASE design as a 2 column proof like the one in the picture. + n(n+1)

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