Q. Type the missing numbers in this sequence:77, _, 73, _, 69, 67, 65
Determine Pattern: We need to determine the pattern in the sequence to find the missing numbers. Let's look at the numbers we have: 77,73,69,67,65. It seems that the sequence is decreasing, but we need to find the exact difference between the numbers.
Find Differences: Let's find the difference between the consecutive numbers that we have: 73−77=−4, 69−73=−4. It appears that the sequence decreases by 4 each time. However, we notice that the difference between 67 and 69 is only −2. This suggests that the pattern might alternate between subtracting 4 and subtracting 2.
Confirm Pattern: To confirm the pattern, let's check the difference between 67 and 65: 65−67=−2. This confirms that the pattern is to subtract 4, then subtract 2, and repeat. Now we can use this pattern to find the missing numbers.
Find Missing Numbers: The first missing number comes after 77. According to the pattern, we should subtract 4: 77−4=73. But since 73 is already the next number in the sequence, we must have made a mistake. The pattern is not simply subtracting 4 each time; it alternates between subtracting 4 and subtracting 2. We need to correct this.