Multiple choice

The next term of the series 1, 4, 36, 576, _ is

  1. $14400$
  2. $889$
  3. $1600$
  4. $12436$
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A Correct answer
Explanation

The pattern is: multiply previous term by (n+1)^2 where n is the position. 1×4=4, 4×9=36, 36×16=576, 576×25=14400. The multipliers are squares of consecutive natural numbers starting from 2: 2^2=4, 3^2=9, 4^2=16, 5^2=25.

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