Maths等比/等差數列一問 2

2011-10-03 5:04 am
功課做到這一題有難度不會解,想看看有沒有人可以幫忙

圖片參考:http://imgcld.yimg.com/8/n/HA07869366/o/701110020110613873470720.jpg

回答 (2)

2011-10-03 5:19 am
✔ 最佳答案
19(a) a * r^(n - 1) = 64

2 * r^5 = 64

r = 2

繩子原來的長度

= a(r^n - 1)/(r - 1)

= 2(2^6 - 1)/(2 - 1)

= 126

(b) 令公比是R﹐首項18

18 + 18R + 18R^2 = 126

(R^2 + R + 1) = 7

=> R = 2﹐因此最長的一段長18R^2 = 72 cm
2011-10-03 5:35 am

圖片參考:http://imgcld.yimg.com/8/n/HA00688357/o/701110020110613873470730.jpg
ANSWER !!~~~


2011-10-02 21:36:12 補充:
19(a) a * r^(n - 1) = 64

2 * r^5 = 64

r = 2

繩子原來的長度

= a(r^n - 1)/(r - 1)

= 2(2^6 - 1)/(2 - 1)

= 126

(b) 令公比是R﹐首項18

18 + 18R + 18R^2 = 126

(R^2 + R + 1) = 7

=> R = 2﹐因此最長的一段長18R^2 = 72 cm

2011-10-02 21:37:06 補充:
果圖太細,你要存檔先看到


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