Find the odd number out in the sequence: 8, 27, 64, 100, 125, 216, 343.

Problem restatementAmong 8, 27, 64, 100, 125, 216, 343, pick the single term that does not share the same core property.

Given data

• Sequence: 8, 27, 64, 100, 125, 216, 343
• Task: Find the unique outlier.

Concept / ApproachCheck for perfect powers. These look like cubes around small integers.

Step-by-step validation 8 = 2³ (cube) 27 = 3³ (cube) 64 = 4³ (cube) 100 ≠ n³ for integer n (not a cube) 125 = 5³ (cube) 216 = 6³ (cube) 343 = 7³ (cube)

Every term is a perfect cube except 100.

Verification / AlternativeNearest cubes around 100 are 4³ = 64 and 5³ = 125; 100 lies between them and is not a cube.

Common pitfalls

• Seeing 100 as a perfect square (10²) and assuming all are squares—several terms are not squares but are cubes.

Final Answer100