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Type the missing number in this sequence:, , , , , ,
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Q. Type the missing number in this sequence:, , , , , ,
- Identify Pattern: Identify the pattern in the sequence.We need to look at the differences between consecutive numbers to see if there is a consistent pattern.The differences are increasing by each time. Let's see if this pattern continues with the next numbers in the sequence.
- Predict Next Difference: Predict the next difference and find the missing number.If the pattern continues, the next difference should be .So, the missing number should be .
- Verify Continuation: Verify the pattern continues after the missing number.Let's check if the difference between and the missing number () is , which would continue the pattern.This fits the pattern, as the differences are increasing by : .
- Confirm Last Difference: Confirm the pattern holds for the last difference in the sequence.Finally, let's check if the difference between and is , which would be the next number in the pattern of differences.This confirms the pattern is consistent throughout the sequence.
