need help with 16 and 21 step by step EXERCISE SET 81 Exerci

need help with #16 and #21 step by step.

EXERCISE SET 8.1 Exercises 20 -42, f Practice 31. 33, X k(k 4) 3) 10. an 37, X11 12. a 11. a, The sequences in Exercises 13-18 are defined using recursion Write the first four terms of each sequence. 13, an 7 and an an-1 5 for n 2 14, a 12 and an a -1 4 for n 2 2 15, a1 and an 4an-t for n z 16 a 2 and an 5a,-1 n 2 2 for In Exercis 17, al 4 and a 2a -1 3 for n 2 2 Use 1 as th 18 ai s and an 3a, 1 1 for n 2 summatio In Enercises 19-22, the general term of a sequence is given and involves a factorial Write the first four terms of each sequence (n 1) 19, a 20, a, 21. 2(n 1)! In Exercises 23-28, evaluate each factorial expression. 46, 5 18! 47, 1 16!

Solution

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Given an = 5a(n-1) ad a1 = 2

a2 = 5a1 = 5*2 = 10

a3 = 5a2 = 10*5 = 50

a4 = 5a3 = 5*50 = 250

a5 = 5a4 = 5*250 = 1250

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