Q. Type the missing number in this sequence:74, 80, 86, _, 98, 104, 110
Determine Pattern: We need to determine the pattern in the sequence. By looking at the given numbers, we can see that each number is increasing by a constant amount. Let's find the difference between the consecutive terms given.80−74=686−80=6The sequence is increasing by 6 each time.
Find Missing Number: To find the missing number, we add 6 to the third term in the sequence (86) because the pattern is to add 6 to the previous number.86+6=92
Verify Solution: Now, let's check if adding 6 to our found number gives us the next number in the sequence, which is 98. 92+6=98This is correct, so our found number fits the pattern.