Challenging P6 2010 HHK P2 Q12

Fig 1 Area of fig: 6

Fig 2 Area of fig: 10
Fig 3 Area of fig: 16
Fig 4 Area of fig: 24

(c) Find the area of figure 100.
Ans: 10104.
For Patterns, try to make use of the figures given to look for specific patterns.
F1 --> 6 = 2 + 4
= 1 + 1 + 4
= 1 + (1 x 1) + 4

F2 --> 10 = 6 + 4
= 2 + 4 + 4
= 2 + (2 x 2) + 4

F3 --> 16 = 12 + 4
= 3 + 9 + 4
= 3 + (3 x 3) + 4

F4 --> 24 = 20 + 4
= 4 + 16 + 4
= 4 + (4 x 4) + 4

Fn --> n + (n x n) + 4