`1 + 4 + 7 + 10 + ... (3n - 2) = n/2 (3n - 1)` Use mathematical induction to prove the formula for every positive integer n.

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You need to use mathematical induction to prove the formula for every positive integer n, hence, you need to perform the two steps of the method, such that:

Step 1: Basis: Show that the statement P(n) hold for n = 1, such that:

`1 = 1/2*(3*1-1) => 1 =2/2 => 1=1`

Step 2: Inductive step: Show that if P(k) holds,...

(The entire section contains 148 words.)

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