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17. Use the formula in Problem 14 to derive a compact expression for 0! + 11(2!) + 29(4!) + ... + (4m2 + 6m + 1)[(2m)!].
18. Derive a compact expression for 5(1!) + 19(3!) + 41(5!) + ... + (4m2 + 2m - 1)[(2m - 1)!].
19. Derive compact expressions for:
(a)
*(b)
20. Derive a compact expression for
21. Show that:
(a)
(b)
(c)
22. Express r, s, and t in terms of m so that
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Tuesday, February 17, 1998