Multiple choice

What is the next term in the following series? $6.25, 9, 12.25,16, 20.25, 25, 30.25, .......$

  1. $36$
  2. $32$
  3. $28.25$
  4. $40.25$
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A Correct answer
Explanation

The series consists of squares of numbers: 2.5^2=6.25, 3^2=9, 3.5^2=12.25, 4^2=16, 4.5^2=20.25, 5^2=25, 5.5^2=30.25. The next term is 6^2 = 36.

AI explanation

The given series represents the squares of numbers increasing by 0.5. The numbers are the squares of 2.5, 3, 3.5, 4, 4.5, 5, and 5.5. Following this pattern, the next term is the square of 6, which is 36.