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Geometric sequence !!! 急問 15點

發問:

1. Find the first four terms of each sequence . (a) 3n+1 (b) 4 n " 4 ; n次方 " (c) n 3" n ; 3次方 " (d) n(n+1) " n(n+1) 除 3 " _____ 3 (e) (5n) 2 " (5n) ; 2次方 " (f) n2 + 3n " n ; 2次方 + 3n "

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您好,我是 lop,高興能解答您的問題。 (a) 3n + 1 : 3(1) + 1 = 4 3(2) + 1 = 7 3(3) + 1 = 10 3(4) + 1 = 13 First four = 4 , 7 , 10 , 13 . (b) 4? : 41= 4 42= 16 43= 64 4?= 256 First four : 4 , 16 , 64 , 256 . (c) n3 : 13= 3 23= 8 33= 27 43= 64 First four : 3 , 8 , 27 , 64 . (d) n(n+1) ------- : _..3 1(1+1)___2 ------- = ---- __3____3 2(2+1) ------- = 2 __3 3(3+1) -------- = 4 __3 4(4+1)__...20 -------- = ----- __3____...3 _________2_______20 First four : --- , 2 , 4 , ----- . _________3_______..3 (e) (5n)2: [5(1)]2= 25 [5(2)]2= 100 [5(3)]2= 225 [5(4)]2= 400 First four : 25 , 100 , 225 , 400 . (f) n2+ 3n : (1)2+ 3(1) = 4 (2)2+ 3(2) = 10 (3)2+ 3(3) = 18 (4)2+ 3(4) = 28 First four : 4 , 10 , 18 , 28 .

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