Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
1. 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + + 4n( 4n + 2) = (4 (4n + 1) (8n + 7))/6
2. 12 + 42 + 72 + + (3n - 2)2 = (n (6n^2 – 3n – 1)/2
for the given statement pn, write the statements p1, pk, and p(k+1).
3. 2 + 4 + 6 + . . + 2n = n(n+1)
i'm rather confused - you!