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Mathematics, 23.06.2021 21:10 kloyet11
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) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six
12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two
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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