Q. Type the missing number in this sequence:____, 84, 91, 98, 105
Determine Pattern in Sequence: We need to determine the pattern in the sequence to find the missing number. The sequence given is 84,91,98,105. Let's find the difference between the consecutive numbers.Calculate the difference between 91 and 84.91−84=7
Calculate Difference: 91−84: Now, let's check if the same difference applies to the next pair of numbers.Calculate the difference between 98 and 91.98−91=7
Check Next Pair: 98−91: Let's check the difference between 105 and 98 to confirm the pattern.Calculate the difference between 105 and 98.105−98=7
Confirm Pattern: 105−98: Since the difference between each consecutive number is consistently 7, we can conclude that the sequence is increasing by 7 each time. To find the missing number, we need to subtract 7 from the first known number in the sequence, which is 84.Calculate the missing number by subtracting 7 from 84.84−7=77