Copy and complete the table to represent the pattern in the figures. Write a rule.
Figure 1
one triangle
Figure 2
3 triangles(in a pyramid shape)
Figure 3
6 triangles(in a pyramid shape)
Thanks for your help.
Your description is unclear. If you have "3 triangles(in a pyramid shape)," there is a fourth triangle formed in the center with its apex inverted. Likewise, the "6 triangles(in a pyramid shape)" would have three inverted triangles within the figure.
However, the next level (according to your description) would have ten triangles (with six inverted triangles within the figure).
hi im a fourth grader
can you help me i need to know 10 triangles and how to put them in colors ???????
i have now clue what to do
To represent the pattern in the figures, we can create a table that shows the number of triangles in each figure.
| Figure | Number of Triangles |
|--------|--------------------|
| 1 | 1 |
| 2 | 3 |
| 3 | 6 |
To come up with a rule that describes this pattern, we need to look for a pattern in the number of triangles as we move from one figure to the next.
From Figure 1 to Figure 2, the number of triangles increases by 2. And from Figure 2 to Figure 3, the number of triangles also increases by 3.
Therefore, we can see that the rule for this pattern is to add (n-1) triangles to the previous figure, where n represents the figure number.
So, the rule is: Number of triangles = (Figure Number - 1) * 3.
For example, to find the number of triangles in Figure 4, we would substitute n with 4 in the rule:
Number of triangles = (4 - 1) * 3 = 9.
Thus, Figure 4 would have 9 triangles.