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please help. Induction. Consider the following recurrence definition: T(1)1T(i+1)=T(i)+3i2+3i+1 a. Prove by induction the predicate P(i)=(T(i)=ix) b. Give the Big OhO attribute of the following

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Induction. Consider the following recurrence definition: T(1)1T(i+1)=T(i)+3i2+3i+1 a. Prove by induction the predicate P(i)=(T(i)=ix) b. Give the Big OhO attribute of the following algorithm as a function of N : int TiliT=1;i=1; While (T

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