Q. Type the missing number in this sequence:____, −17, −9, −1, 7, 15
Identify Pattern: Identify the pattern in the sequence.The sequence is −17, −9, −1, 7, 15. To determine if the sequence is arithmetic, we need to check if the difference between consecutive terms is constant.
Calculate Differences: Calculate the difference between the consecutive terms.The difference between −9 and −17 is −9−(−17)=8.The difference between −1 and −9 is −1−(−9)=8.The difference between 7 and −1 is 7−(−1)=8.The difference between 15 and 7 is −171.The common difference is −172, confirming that the sequence is arithmetic.
Find Missing Number: Find the missing number in the sequence.To find the missing number before −17, we subtract the common difference from −17.Missing number = −17−8=−25.