Q. Type the missing number in this sequence:3, −4, −11, −18, _, −32
Identify Pattern: Identify the pattern in the sequence.We need to find the difference between consecutive terms to understand the pattern.−4−3=−7−11−(−4)=−7−18−(−11)=−7The pattern is that each number is 7 less than the previous number.
Apply Pattern: Apply the pattern to find the missing number.The missing number should be 7 less than the previous number, −18.−18−7=−25The missing number in the sequence is −25.
Verify Continuation: Verify the pattern continues correctly after the missing number.To ensure that the missing number is correct, check that the pattern continues with the next number in the sequence.−25−7=−32This matches the given next number in the sequence, so the pattern is correct.