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Type the missing number in this sequence:, , , _____, , , ,
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Q. Type the missing number in this sequence:, , , _____, , , ,
- Identify Pattern: To find the missing number in the sequence, we need to look for a pattern in the given numbers.Let's look at the differences between consecutive terms:The differences seem to be increasing by each time. Let's continue this pattern to see if it holds for the rest of the sequence.
- Calculate Differences: We will now calculate the difference between the other consecutive terms to confirm the pattern:It seems that the differences are not strictly increasing by , so our initial pattern does not hold. We need to re-evaluate the sequence to find the correct pattern.
- Re-evaluate Sequence: Let's try a different approach. We will look at the differences again and see if there is another pattern:The differences are alternating between increasing by and decreasing by . If this pattern holds, the difference before (between the missing number and ) should be (since it alternates and the next difference after is ).
- Alternate Pattern: Now we will calculate the missing number using the pattern we have identified:If the difference between the missing number and is , then the missing number is .Missing number =
- Calculate Missing Number: Let's check if our found number fits the pattern:The difference between and the missing number () should be .Now let's check the differences in the sequence with the missing number included:The pattern of differences is now . This does not seem to be a clear pattern. It looks like there is a mistake in our reasoning. We need to find a consistent pattern.
