Q. Type the missing number in this sequence:83, 86, _, 92, 95, 98
Determine Pattern: We need to determine the pattern in the sequence to find the missing number. Let's look at the difference between the numbers that are given.
Calculate Differences: The difference between 86 and 83 is 3 (86−83=3). Let's check if this difference is consistent with the other numbers in the sequence.
Consistent Increase by 3: The difference between 95 and 92 is also 3 (95−92=3), and the difference between 98 and 95 is 3 (98−95=3). This suggests that the sequence increases by 3 each time.
Add 3 to Find Missing Number: If we add 3 to 86, we should get the missing number in the sequence. So, 86+3=89.
Verify Pattern with Next Number: Now let's check if adding 3 to our found number gives us the next number in the sequence. 89+3 should equal 92.
Verify Pattern with Next Number: Now let's check if adding 3 to our found number gives us the next number in the sequence. 89+3 should equal 92. Evaluating 89+3, we get 92, which is the next number in the sequence. This confirms that the pattern is consistent and that the missing number is indeed 89.