`2 + 7 + 12 + 17 + .... (5n - 3) = (n/2)(5n - 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:

`2 = 1/2*(5*1-1) => 2 =4/2 => 2=2`

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

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