Q. Type the missing number in this sequence:12, _, 0, −6, −12, −18, −24
Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between the consecutive terms given.−6 (0 to −6) −6 (−6 to −12) −6 (−12 to −18) −6 (−18 to 01)It seems that each term is 02 less than the previous term.
Check Difference for Missing Number: To confirm the pattern, we should check if the difference between 12 and the next term (the missing number) is also −6. If the pattern holds, the missing number should be 12−6=6.
Confirm Consistent Pattern: Now let's check if the sequence is consistent with this pattern:12,6,0,−6,−12,−18,−24The differences between these terms are:6−12=−60−6=−6−6−0=−6−12−(−6)=−6−18−(−12)=−6−24−(−18)=−6The pattern is consistent, and the sequence is correct.