general trems

2007-10-23 4:16 am
256,64,16,4,...

回答 (3)

2007-10-23 4:21 am
✔ 最佳答案
256,64,16,4,1,1/4,1/16,1/64,1/256...

2007-10-22 20:22:29 補充:
4^4,4^3,4^2,4^1,4^0,4^-1,4^-2,4^-3,4^-4...
2007-10-23 4:33 am
S1 = 256
S2 = 64 = n1 ÷ 4
S3 = 16 = n2 ÷ 4 = n1 ÷ 4^2
S4 = 4 = n3 ÷ 4 = n1 ÷ 4^3
general term = Sn
= 256 ÷ 4^(n-1)
= 256 x (1/4)^(n-1)
= (1/4)^(n-5)
= 4^(5-n)

2007-10-26 18:37:21 補充:
S2, S3 & S4 的等式中不是n1, n2, n3 是S1,S2 &S3 sorry
2007-10-23 4:32 am
Each term is 1/4 of the preceding term.
So,
First term (a) = 256
Common ratio (r) = 1/4
General Term T(n)
= ar^(n-1)
= 256(1/4)^(n-1)
= 1024/(4^n)


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