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What is the missing number in this pattern?1, 1, 2, 3, ____, 8, 13, 21
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Q. What is the missing number in this pattern?1, 1, 2, 3, ____, 8, 13, 21
- Observation: We observe the given sequence to determine the pattern: . By looking at the numbers, we can suspect that this is a Fibonacci sequence, where each number is the sum of the two preceding ones. To confirm this, we check if the sum of the first two numbers equals the third: . This is true. Then we check if the sum of the second and third numbers equals the fourth: . This is also true.
- Confirmation: Now, we apply the same pattern to find the missing number. We add the fourth and fifth numbers (which is the missing number) to see if it equals the sixth number: 3 + ____ = 8. Since we know the sixth number is , we can subtract the fourth number from the sixth to find the missing number: .
- Finding the Missing Number: We have found that the missing number is . To ensure there is no math error, we can check if adding this number to the next number in the sequence gives us the subsequent number: , which is the seventh number in the sequence. This confirms that our missing number is correct.
