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please solve them all!!! (1) show that 21 divides 4n+1+52n1 for n1 (2) Prove by Induction n3 that: r=1n(r1)2=3n32n2+6n (3) Let T1=1,Tn=3Tn1+4 for n2. Show

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(1) show that 21 divides 4n+1+52n1 for n1 (2) Prove by Induction n3 that: r=1n(r1)2=3n32n2+6n (3) Let T1=1,Tn=3Tn1+4 for n2. Show that Tn=3n2 for n1

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