Study the pattern. Each figure is made up of identical blocks.
- How many blocks are used to form Figure 4?
- How many more blocks are used to form Figure 9 than Figure 2?
(a)
Number of blocks:
Figure 1 = 1 + 2 =
2 x 32 = 3
Figure 2 = 1 + 2 + 3 =
3 x 42 = 6
Figure 3 = 1 + 2 + 3 + 4 =
4 x 52 = 10
Formula:
Number of blocks of Figure Number =
(Figure Number + 1) x (Figure Number + 2)2 Number of blocks in Figure 4
=
(4 + 1) x (4 + 2)2=
5 x 62=
302= 15
(b)
Number of blocks in Figure 9
=
10 x 112=
1102 = 55
Number of more blocks that are used to form Figure 6 than Figure 2
= 55 - 6
= 49
Answer(s): (a) 15 ; (b) 49