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9, 16, 25, 36, … Find the next two numbers in the pattern: 9, 16, 25, 36, Describe the method you used to find the next two numbers.

Question

9, 16, 25, 36, … Find the next two numbers in the pattern: 9, 16, 25, 36, Describe the method you used to find the next two numbers.

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Solution

The pattern in this sequence is that each number is a perfect square.

  1. The first number, 9, is 3^2 (3 squared).
  2. The second number, 16, is 4^2 (4 squared).
  3. The third number, 25, is 5^2 (5 squared).
  4. The fourth number, 36, is 6^2 (6 squared).

Following this pattern, the next number would be 7^2 (7 squared), which is 49. The number after that would be 8^2 (8 squared), which is 64.

So, the next two numbers in the pattern are 49 and 64.

This problem has been solved

Similar Questions

The following numbers are in a sequence from left to right. Determine the pattern and decide which number should come next:Fill in the blank: 4, 9, 16, 25, 36, 49, _____1 point

What is the next number in this pattern?Rule: multiply by 2, then add 52,   9,   23,   51,   ...

Find the next number in the pattern:200, 96, 44, 18, ?

Now, find a pattern in a different format. Select the next number in the sequence:Fill in the blank: 9, 13, 17, 21, 25, 29, _____

What is the next number in this pattern?Rule: multiply by 3, then add 51,   8,   29,   92,

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