In a sequence of polygons with increasing number of sides, after triangle (3), square (4), pentagon (5), hexagon (6), which figure comes next?

In a sequence of polygons with increasing number of sides, after triangle (3), square (4), pentagon (5), hexagon (6), which figure comes next?

• A. Heptagon
• B. Pentagon
• C. Nonagon
• D. Octagon

Answer: (A)

Look for a pattern in the number of sides. The sequence goes 3, 4, 5, 6—each step adds one side. So the next figure should have 7 sides, which is a seven-sided polygon called a heptagon. The other options don’t fit the pattern: five-sided, nine-sided, and eight-sided polygons would break the consistent +1 increase from the previous figure.

Look for a pattern in the number of sides. The sequence goes 3, 4, 5, 6—each step adds one side. So the next figure should have 7 sides, which is a seven-sided polygon called a heptagon. The other options don’t fit the pattern: five-sided, nine-sided, and eight-sided polygons would break the consistent +1 increase from the previous figure.