F.5 math ASGS 問題

圖片參考：http://xe7.xanga.com/c55f765435635254719388/o202502783.jpg

a)Perimeter of A1 = 4*1 = 4[2(1) - 1]
A2 = 4*3 = 4[2(2) - 1]
A3 = 4*5 = 4[2(3) - 1]
A15 = 4[2(15) - 1] = 116cm
b)
The area of A1 = 1 = 2(1) - 1
A2 = 1 + 3 + 1 = 1 + 2(2) -1 + 1
A3 = 1+ 3 + 5 + 3 + 1 = 1 + 3 + 2(3)-1 + 3 + 1
A15 = 1 + 3 + 5 + 7 + 9 + 11 + ... + 27 + 2(15)-1 + 27 + 25 +... + 1
= 2*(1+3+5+7+...+27) + 29
= 2*(1+27)14/2 + 29
= 421cm2