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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

Question

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

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Solution

The pattern in this sequence is that each number is a perfect square. The first number is 2^2 (4), the second number is 3^2 (9), the third number is 4^2 (16), the fourth number is 5^2 (25), the fifth number is 6^2 (36), and the sixth number is 7^2 (49).

So, the next number in the sequence should be 8^2, which is 64.

Similar Questions

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.

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, _____

Look carefully for the pattern, and then choose which pair of numbers comes next. 28, 24, 6, 21, 17, 6, 14, X, X,*11, 85, 1010, 510,610, 7

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

Look at a sequence of numbers (e.g., 42, 44, 46, 48, ...). Can you identify the pattern? What would be the next four numbers in the sequence?

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