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What comes next in the pattern: 1, 4, 9, 16, ?

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Question: What comes next in the pattern: 1, 4, 9, 16, ?

Options:

  1. 20
  2. 24
  3. 25
  4. 30

Correct Answer: 25

Solution: 

These are perfect squares: 1^2, 2^2, 3^2, 4^2, so the next is 5^2 = 25.

What comes next in the pattern: 1, 4, 9, 16, ?

Practice Questions

Q1
What comes next in the pattern: 1, 4, 9, 16, ?
  1. 20
  2. 24
  3. 25
  4. 30

Questions & Step-by-Step Solutions

What comes next in the pattern: 1, 4, 9, 16, ?
  • Step 1: Look at the numbers in the pattern: 1, 4, 9, 16.
  • Step 2: Identify what each number represents: 1 is 1 squared (1^2), 4 is 2 squared (2^2), 9 is 3 squared (3^2), and 16 is 4 squared (4^2).
  • Step 3: Notice that each number is the square of a whole number: 1, 2, 3, and 4.
  • Step 4: Find the next whole number after 4, which is 5.
  • Step 5: Calculate the square of 5: 5 squared (5^2) equals 25.
  • Step 6: Conclude that the next number in the pattern is 25.
  • Perfect Squares – The sequence consists of the squares of consecutive integers: 1^2, 2^2, 3^2, 4^2.
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