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Type the missing number in this sequence:, , , , , , ,
Full solution
Q. Type the missing number in this sequence:, , , , , , ,
- Identify Pattern: Identify the pattern in the sequence.Look at the differences between consecutive terms to see if there is a pattern.It seems that each term is increasing by one more than the previous increase.
- Predict Next Increase: Predict the next increase in the sequence. If the pattern of increases continues, the next increase should be , because the last increase we found was .
- Calculate Missing Number: Calculate the missing number in the sequence.Add the predicted increase to the last known number in the sequence.The missing number should be .
- Verify Pattern Continues: Verify the pattern continues after the missing number.To ensure that the missing number is correct, check if the pattern continues with the next known numbers. (the missing number we found) + (the next increase, since the last was ) should equal , which is the next number in the sequence.The pattern holds, so the missing number is likely correct.
