Q. Type the missing numbers in this sequence:17, _, 13, 11, 9, 7, _
Identify Pattern: Identify the pattern in the sequence.The sequence appears to be decreasing, but we need to determine the common difference between the terms.
Determine Difference: Determine the common difference between the known consecutive terms.The difference between 13 and 11 is 2, and the difference between 11 and 9 is also 2, as well as between 9 and 7.Common Difference: 2
Find First Missing Number: Find the first missing number in the sequence.Starting with 17 and subtracting the common difference of 2 should give us the next term.17−2=15The first missing number is 15.
Find Second Missing Number: Find the second missing number in the sequence.Starting with the last known term, 7, and adding the common difference of 2 should give us the term before it.7+2=9However, 9 is already in the sequence, and we need the term after 7, which means we need to subtract the common difference from the last known term before the missing number, which is 7.7−2=5The second missing number is 5.