Study the pattern. Each figure is made up of identical blocks.
- How many blocks are used to form Figure 7?
- How many more blocks are used to form Figure 8 than Figure 3?
(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 7
=
(7 + 1) x (7 + 2)2=
8 x 92=
722= 36
(b)
Number of blocks in Figure 8
=
9 x 102=
902 = 45
Number of more blocks that are used to form Figure 9 than Figure 3
= 45 - 10
= 35
Answer(s): (a) 36 ; (b) 35
