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For all positive integers, let P(n) be the equation 2+4+6+....+2n= n(n+1) a. write the equation for the base case P(1) and verify that it is

For all positive integers, let P(n) be the equation 2+4+6+....+2n= n(n+1)

a. write the equation for the base case P(1) and verify that it is true.

b. Write the inductive hypothesis P(k).

c. Write the equation for P(k+1).

d. Prove that P(k+1) is true.

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