A pattern of hexagonal tiles is laid: figure 1 has 1 tile, figure 2 has 7 tiles, figure 3 has 19 tiles (centered hexagonal numbers). The differences are 6, 12, 18, ... (multiples of 6). How many tiles are in figure 4?

Question

Accepted Answer

37. The next difference is 18 + 6 = 24, so figure 4 has 19 + 18 = 37 tiles. (Differences 6,12,18: 1,7,19,37.)

A pattern of hexagonal tiles is laid: figure 1 has 1 tile, figure 2 has 7 tiles, figure 3 has 19 tiles (centered hexagonal numbers).
The differences are 6, 12, 18, ... (multiples of 6).
How many tiles are in figure 4?

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More Class 8 Patterns in Numbers practice

A pattern of hexagonal tiles is laid: figure 1 has 1 tile, figure 2 has 7 tiles, figure 3 has 19 tiles (centered hexagonal numbers).The differences are 6, 12, 18, ... (multiples of 6).How many tiles are in figure 4?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Numbers practice

A pattern of hexagonal tiles is laid: figure 1 has 1 tile, figure 2 has 7 tiles, figure 3 has 19 tiles (centered hexagonal numbers).
The differences are 6, 12, 18, ... (multiples of 6).
How many tiles are in figure 4?