Question: Prove by induction that for any n 1 , j = 1 n ( 4 j + 3 ) = 2 n 2 + 5

Prove by induction that for any

n 1,_{j = 1}^{n} (4 j + 3) = 2 n^{2} + 5 n

The answer must include

(1)

Proof of the base case

(2)

Inductive step

state inductive hypothesis

state what is being proven in the inductive step

prove the inductive step

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Prove by induction that for any n 1 , j = 1 n ( 4

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