[Maths] Summation 問題

2007-09-24 9:22 am
請問以下是什麼 Rule? Thanks.

1+(0.3)+(0.3)^2+(0.3)^3 + ...... = 1/(1-0.3)

回答 (1)

2007-09-24 9:49 am
✔ 最佳答案
sum of G.P.
G.P. 係數列, 係咁既樣 a, ar, ar^2, ar^3 ...
如果 -1 < r < 1,
a + ar + ar^2 + ar^3 + ... = a/(1-r)
宜家 a = 1, r = 0.3
1 + (0.3) + (0.3)^2 + (0.3)^3 + ......
= 1/(1-0.3)
= 10/7


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