(Step-by-Step) (a) Verify the identity ∑_i=1^n(6 i+1)=3 n^2+4 n for n=4,5.6. (b) Use the rules and the formulas given in Theorems 2 and 3 in order to


Question: (a) Verify the identity \(\sum_{i=1}^n(6 i+1)=3 n^{2}+4 n\) for \(n=4,5.6\).

(b) Use the rules and the formulas given in Theorems 2 and 3 in order to show that \(\sum_{i=1}^{n}(6 i+1)=3 n^{2}+4 n\) for all natural numbers \(n\).

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