Q. Type the missing number in this sequence:84,75,66,____,48,39,30
Determine Pattern: We need to determine the pattern in the sequence to find the missing number. Let's look at the differences between the numbers provided.75−84=−966−75=−9The pattern seems to be that each number is 9 less than the previous number.
Continue Pattern: If we continue this pattern, the missing number should be 9 less than 66. 66−9=57
Check Missing Number: To ensure we have the correct pattern, let's check if the next number in the sequence (after the missing number) follows the same pattern.48−57 should equal −9.48−57=−9This confirms our pattern is correct.
Confirm Pattern: Now, let's check if the sequence continues correctly after 48. 39−48 should also equal −9. 39−48=−9The pattern is consistent, so we can be confident in our solution.