Current location - Recipe Complete Network - Catering franchise - (20 1 1 Qinghai, 12, 2 minutes) If the black and white hexagonal floor tiles are put together according to the rules shown in Figure 4 and put together into several patterns, the n-th pattern will hav
(20 1 1 Qinghai, 12, 2 minutes) If the black and white hexagonal floor tiles are put together according to the rules shown in Figure 4 and put together into several patterns, the n-th pattern will hav
(20 1 1 Qinghai, 12, 2 minutes) If the black and white hexagonal floor tiles are put together according to the rules shown in Figure 4 and put together into several patterns, the n-th pattern will have a white background. 4n+2

According to the 1 drawing, there are 6 white tiles, and the second drawing has 10 white tiles, with 4 more white tiles per 1 black tile. According to this rule, we can write the wattage of the nth graph.

Solution: The number of white tiles in the 1 pattern is 6.

The number of white tiles in the second pattern is 10=6+4.

The number of white tiles in the third pattern is: 14=6+4×2,

By analogy, the number of white tiles in the nth pattern is 6+4 (n- 1) = 4n+2.

So the answer is: (4n+2).

This topic examines the regularity of graphic changes, and shows that the regularity of graphic changes "every extra black tile plus four white tiles" is the key to solving problems.