Complete the pattern: Identify the next two shapes in the sequence and explain the pattern. Also, complete the number sequences by adding the appropriate number.

Question

Asked on April 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-29T12:07:24.444Z

A) 1. Determine the 4th and 5th shape. The pattern shows that each subsequent shape adds one "zigzag" unit (which consists of 2 quadrilaterals) to the top right of the previous shape. Shape 1 has 2 quadrilaterals. Shape 2 has 4 quadrilaterals. Shape 3 has 6 quadrilaterals. Therefore: The 4th shape will have 6 + 2 = 8 quadrilaterals. It will be formed by adding one "zigzag" unit to the top right of the 3rd shape. The 5th shape will have 8 + 2 = 10 quadrilaterals. It will be formed by adding one "zigzag" unit to the top right of the 4th shape. Description of the shapes to be drawn: 4th shape: Draw the 3rd shape, then add another "zigzag" unit (two quadrilaterals) on top of the rightmost part, extending upwards and to the right. 5th shape: Draw the 4th shape, then add another "zigzag" unit (two quadrilaterals) on top of the rightmost part, extending upwards and to the right. 2. Complete the pattern. Menambah 2 sisi empat kepada bentuk sebelumnya. Add 2 quadrilaterals to the previous shape. B) Complete the pattern for each of the following number sequences with the appropriate number. 1. 3, 6, 9, 12, ... The difference between consecutive terms is 6-3=3, 9-6=3, 12-9=3. Pola/Pattern: Menambah 3 kepada nombor sebelumnya. Add 3 to the previous number. 2. 5, 1, -3, -7, ... The difference between consecutive terms is 1-5=-4, -3-1=-4, -7-(-3)=-4. Pola/Pattern: Menolak 4 daripada nombor sebelumnya. Subtract 4 from the previous number. 3. (1)/(4), (1)/(2), 1, 2, ... The ratio between consecutive terms is (1/2)/(1/4)=2, (1)/(1/2)=2, (2)/(1)=2. Pola/Pattern: Mendarab nombor sebelumnya dengan 2. Multiply the previous number by 2. 4. 10, 1, 0.1, 0.01, ... The ratio between consecutive terms is (1)/(10)=0.1, (0.1)/(1)=0.1, (0.01)/(0.1)=0.1. This is equivalent to dividing by 10. Pola/Pattern: Membahagi nombor sebelumnya dengan 10. Divide the previous number by 10. Send me the next one 📸

Accepted Answer · 2026-04-29T12:07:24.444Z

A) 1. Determine the 4th and 5th shape. The pattern shows that each subsequent shape adds one "zigzag" unit (which consists of 2 quadrilaterals) to the top right of the previous shape. Shape 1 has 2 quadrilaterals. Shape 2 has 4 quadrilaterals. Shape 3 has 6 quadrilaterals. Therefore: The 4th shape will have 6 + 2 = 8 quadrilaterals. It will be formed by adding one "zigzag" unit to the top right of the 3rd shape. The 5th shape will have 8 + 2 = 10 quadrilaterals. It will be formed by adding one "zigzag" unit to the top right of the 4th shape. Description of the shapes to be drawn: 4th shape: Draw the 3rd shape, then add another "zigzag" unit (two quadrilaterals) on top of the rightmost part, extending upwards and to the right. 5th shape: Draw the 4th shape, then add another "zigzag" unit (two quadrilaterals) on top of the rightmost part, extending upwards and to the right. 2. Complete the pattern. Menambah 2 sisi empat kepada bentuk sebelumnya. Add 2 quadrilaterals to the previous shape. B) Complete the pattern for each of the following number sequences with the appropriate number. 1. 3, 6, 9, 12, ... The difference between consecutive terms is 6-3=3, 9-6=3, 12-9=3. Pola/Pattern: Menambah 3 kepada nombor sebelumnya. Add 3 to the previous number. 2. 5, 1, -3, -7, ... The difference between consecutive terms is 1-5=-4, -3-1=-4, -7-(-3)=-4. Pola/Pattern: Menolak 4 daripada nombor sebelumnya. Subtract 4 from the previous number. 3. (1)/(4), (1)/(2), 1, 2, ... The ratio between consecutive terms is (1/2)/(1/4)=2, (1)/(1/2)=2, (2)/(1)=2. Pola/Pattern: Mendarab nombor sebelumnya dengan 2. Multiply the previous number by 2. 4. 10, 1, 0.1, 0.01, ... The ratio between consecutive terms is (1)/(10)=0.1, (0.1)/(1)=0.1, (0.01)/(0.1)=0.1. This is equivalent to dividing by 10. Pola/Pattern: Membahagi nombor sebelumnya dengan 10. Divide the previous number by 10. Send me the next one 📸

Complete the pattern: Identify the next two shapes in the sequence and explain the pattern. Also, complete the number sequences by adding the appropriate number.

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Complete the pattern: Identify the next two shapes in the sequence and explain the pattern. Also, complete the number sequences by adding the appropriate number.

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More Mathematics Questions