Multiple choice

Find the missing term in the following number series. $4, 64, 36, ?, 81$

  1. $512$
  2. $64$
  3. $343$
  4. $49$
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A Correct answer
Explanation

The series alternates between cubes and squares of consecutive integers: 2²=4, 4³=64, 6²=36, 8³=512, 10²=81. The missing term is 8³ = 512. 64 would be 4³ (breaks pattern), 343 is 7³ (wrong number), 49 is 7² (doesn't fit).

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