The rule governing the relationship between the step number and the total rectangles is succinctly expressed as the multiplication of the first column by 3. In essence, the second column is obtained by tripling the corresponding values in the first column, as evident in the complete table.
The pattern in the chart and table reveals a clear rule: multiplication by 3. Examining the chart, it is evident that the number of black rectangles increases by one in each step.
Simultaneously, the table displays two columns: the first indicates the step number, and the second reveals the total number of rectangles. A crucial observation is that the numbers in the second column are consistently three times the corresponding numbers in the first column. For instance, 1 x 3 = 3, 2 x 3 = 6, 3 x 3 = 9, and so forth.
1 * 3 = 3
2 * 3 = 6
3 * 3 = 9
4 * 3 = 12
5 * 3 = 15
10 * 3 = 30
The complete table is:
1 | 3
2 | 6
3 | 9
4 | 12
5 | 15
10 | 30
This consistent multiplication by 3 establishes the rule governing the relationship between the step number and the total rectangles. Therefore, the rule to determine the second column from the first is to multiply the first column by 3. This rule is succinctly expressed in the blank space below the table.