Complete the sequence of consecutive cubes: 1, 8, 27, 64, 125, 216, (…)? Select the correct next term.

Introduction / Context:The sequence lists perfect cubes of consecutive natural numbers. Identifying which n^3 comes after 216 resolves the item. Cube recognition up to 7^3 is widely used in aptitude questions.

Given Data / Assumptions:

• 1 = 1^3
• 8 = 2^3
• 27 = 3^3
• 64 = 4^3
• 125 = 5^3
• 216 = 6^3

Concept / Approach:Since 216 is 6^3, the next cube is 7^3. Compute 7^3 by multiplying 7 * 7 * 7 to obtain 343.

Step-by-Step Solution:6^3 = 216Next n = 7 ⇒ 7^3 = 7 * 7 * 7 = 343

Verification / Alternative check:Sequence thus continues: 1, 8, 27, 64, 125, 216, 343 — consecutive cubes from 1 to 7.

Why Other Options Are Wrong:354/392/245 are not perfect cubes and do not match the consecutive-cube pattern.

Common Pitfalls:Confusing cubes with squares; for example, 256 is 4^4, not in this list. Accurate recall of small cubes helps avoid mistakes.

Final Answer:343