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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