Q. Type the missing number in this sequence:−12, ____, −28, −36, −44
Identify Pattern: To find the missing number in the sequence, we need to determine the pattern. We will look at the differences between the known numbers.
Find Difference −28 to −36: First, let's find the difference between −28 and −36. −36−(−28)=−36+28=−8 So the difference between −28 and −36 is −8.
Find Difference −36 to −44: Now, let's find the difference between −36 and −44.−44−(−36)=−44+36=−8 The difference between −36 and −44 is also −8.
Determine Common Difference: Since the differences between consecutive numbers are consistent at −8, we can assume that the sequence is an arithmetic sequence with a common difference of −8.
Calculate Missing Number: To find the missing number between −12 and −28, we will add the common difference of −8 to −12.−12+(−8)=−12−8=−20The missing number in the sequence is −20.