Q. Type the missing numbers in this sequence:69, 60, 51, 42, _____, _____, 15
Determine Pattern: We need to determine the pattern in the sequence. By looking at the sequence, we can see that each number is decreasing by a certain amount. Let's find the difference between the first two numbers.Calculation: 69−60=9The difference between the first two numbers is 9.
Calculate Differences: Now let's check if the same difference applies to the next pair of numbers in the sequence.Calculation: 60−51=9The difference between the second and third numbers is also 9.
Confirm Consistency: We will check the difference between the third and fourth numbers to confirm the pattern.Calculation: 51−42=9The difference between the third and fourth numbers is again 9.
Apply Pattern: Since the pattern of decreasing by 9 is consistent, we can apply this pattern to find the next number in the sequence.Calculation: 42−9=33The next number in the sequence is 33.
Find Next Number: Now we will find the second missing number in the sequence by subtracting 9 from the number we just found.Calculation: 33−9=24The second missing number in the sequence is 24.
Find Second Missing Number: To ensure our pattern is correct, let's check if subtracting 9 from the last number we found will give us the final number in the sequence, which is 15.Calculation: 24−9=15The result is 15, which matches the last number in the sequence, confirming our pattern is correct.