Q. Type the missing numbers in this sequence:15, _, 5, 0, _, −10
Identify Pattern: First, let's try to identify a pattern in the given sequence. We can do this by looking at the known numbers and seeing if there is a consistent difference between them. Since we have a gap at the beginning, let's look at the difference between 5 and 0, which are consecutive known numbers in the sequence.Calculation: 0−5=−5
Calculate Difference: The difference between 5 and 0 is −5. If we assume that the sequence follows a consistent pattern, then the difference between each pair of consecutive numbers should be the same. Let's check this by subtracting the next known pair of consecutive numbers.Calculation: −10−0=−10
Find Common Difference: The difference between −10 and 0 is −10, which is not the same as the difference between 5 and 0. This suggests that the difference between consecutive numbers might not be consistent, or we may need to find a different pattern. However, if we consider that there might be a missing number between 0 and −10, we can divide the difference by 2 to find the common difference for the sequence.Calculation: (−10−0)/2=−5
Find First Missing Number: Now that we have found a common difference of −5, we can use this to find the missing numbers in the sequence. To find the first missing number, we subtract 5 from 15.Calculation: 15−5=10
Find Second Missing Number: The first missing number is 10. Now, let's find the second missing number by subtracting 5 from 0.Calculation: 0−5=−5
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