Question

complete the next sequence using 3 facts.
1 2 3 4 5 6 7 8 9 10
1 3
2 2 4 6 8 10 12 14 16 18 20
3
4 12
5 15
6
7
8 24
9
10

Explanation:

Step1: Analyze the table pattern

The table seems to be a multiplication table, where the row number (leftmost column) and column number (top row) are multiplied. For example, row 2, column 3: \(2\times3 = 6\); row 4, column 3: \(4\times3 = 12\); row 5, column 3: \(5\times3 = 15\); row 8, column 3: \(8\times3 = 24\).

Step2: Calculate for row 3, column 3

Using the multiplication rule, row 3 (left) and column 3 (top) gives \(3\times3 = 9\).

Step3: Calculate for row 6, column 3

Row 6 and column 3: \(6\times3 = 18\).

Step4: Calculate for row 7, column 3

Row 7 and column 3: \(7\times3 = 21\).

Step5: Calculate for row 9, column 3

Row 9 and column 3: \(9\times3 = 27\).

Step6: Calculate for row 10, column 3

Row 10 and column 3: \(10\times3 = 30\).

Answer:

• Row 3, column 3: \(9\)
• Row 6, column 3: \(18\)
• Row 7, column 3: \(21\)
• Row 9, column 3: \(27\)
• Row 10, column 3: \(30\)