Q. Type the missing number in this sequence:64,58,52,_____,40
Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the difference between the first two numbers.Calculation: 58−64=−6The difference is −6, which suggests that the sequence might be decreasing by 6 each time.
Check Pattern Continuation: Let's check if the pattern continues with the next number in the sequence.Calculation: 52−58=−6The difference is again −6, confirming our pattern.
Apply Pattern to Find Missing Number: Now, we can apply the pattern to find the missing number in the sequence. We subtract 6 from the last known number, which is 52.Calculation: 52−6=46The missing number should be 46.
Verify Pattern Consistency: To ensure we haven't made a mistake, let's check if the pattern holds for the next number in the sequence after the missing number.Calculation: 40−46=−6The difference is −6, which means our pattern is consistent and our calculation for the missing number is correct.