Interleaved squares and cubes: Determine the missing term in 1, 1, 4, 8, 9, 27, 16, ? Odd positions are perfect squares (1², 2², 3², 4², …) and even positions are perfect cubes (1³, 2³, 3³, 4³, …). Compute the 8th term. Choose the correct value.
Verbal Reasoning
Series Completion
Difficulty: Easy
Choose an option
-
A32
-
B64
-
C81
-
D256
Answer
Correct Answer: 64
Explanation
Identify the two subsequences
- Odd indices: 1, 4, 9, 16, … ⇒ 1², 2², 3², 4², …
- Even indices: 1, 8, 27, … ⇒ 1³, 2³, 3³, …
Find the 8th term Position 8 is even ⇒ 4³ = 64.