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Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.(4 points each.)
4 â‹… 6 + 5 â‹… 7 + 6 â‹… 8 + … + 4n( 4n + 2) =
12 + 42 + 72 + … + (3n – 2)2 =
For the given statement Pn, write the statements P1, Pk, and Pk+1.(2 points)
2 + 4 + 6 + . . . + 2n = n(n+1)
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