Multiple choice

Find the next term of the series $1728, 2744, 4096, 5832, 8000, 10648, ?$

  1. $2167$
  2. $13824$
  3. $15625$
  4. $9261$
  5. $17576$
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B Correct answer
Explanation

The series consists of cubes: 12^3=1728, 14^3=2744, 16^3=4096, 18^3=5832, 20^3=8000, 22^3=10648. The next term is 24^3 = 13824.

AI explanation

The terms of the given series are perfect cubes of consecutive even numbers. The bases are 12 cubed, 14 cubed, 16 cubed, 18 cubed, 20 cubed, and 22 cubed, which equals 1728, 2744, 4096, 5832, 8000, and 10648. Continuing this pattern of even numbers, the next term is the cube of 24, which is 13824.

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