
Thank you
Thank you
(a) Diagram No. of black triangles
1 1 = 30
2 3 = 31
3 9 = 32
4 27 = 33
5 81 = 34
n ? = 3n-1
Hence number of black triangles for the nth diagram = 3n-1
(b) Diagram Area of Diagram(black triangles)
1 a = (30 / 20 ) a
2 (3/4) a = (31 / 22 ) a
3 (9/16) a = (32 / 24 ) a
4 (27/64) a = (33 / 26 ) a
5 (81/256)a = (34 / 28 ) a
n ? = (3n-1 / 22(n-1) ) a = a (3/4)(n-1)
Hence the area of black triangles in Diagram n is a(3 / 4) (n-1)