geometric sequence ..really urgent...PLEASE!

2008-09-09 7:54 am
find the general term for this geometric sequence

T(2) =243 , T(5) =1/3

回答 (2)

2008-09-09 8:05 am
✔ 最佳答案

Let a and d be the first term and the common ratio respectively.

T(n) = arn-1

T(2):
ar = 243 ...... (1)

T(5):
ar4 = (1/3) ...... (2)

(2)/(1):
r3 = 1/729
r = 1/9

Put r = 9 into (1)
a(1/9) = 243
a = 2187

Hence, the general term T(n) = 2187 x (1/9)n-1
=
2008-09-09 8:11 am
參考: Myself


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