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Type the missing number in this sequence:
Full solution
Q. Type the missing number in this sequence:
- Identify Pattern: Identify the pattern in the sequence.We need to look at the differences between the numbers to see if there is a consistent pattern. to is an increase of . to is an increase of .We need to find the increase from to the missing number, and then check if the pattern continues with the subsequent numbers.
- Continue Pattern: Continue the pattern to find the missing number.If we assume the pattern is increasing by consecutive numbers, we can check if this holds true for the rest of the sequence. to is an increase of . to is an increase of . to is an increase of .It seems that the pattern is not simply increasing by consecutive numbers, as we have an increase of , then , then again.We need to re-evaluate the pattern.
- Re-evaluate Pattern: Re-evaluate the pattern considering the increases of , , and . Let's list the increases in order: (from to ) (from to ) (from to the missing number) (from the missing number to ) (from to ) (from to ) It seems that the increases are not simply consecutive numbers. Let's try adding the increases together to see if there's a pattern: The pattern of the sums is not clear yet. We need to find the missing increase that, when added to , results in a number that, when added to , equals .
- Find Missing Increase: Find the missing increase that fits the pattern.We know that , so the missing increase must be .Now let's check if this fits the pattern: (from to ) (from to ) (from to the missing number) (from the missing number to ) (from to ) (from to )The pattern of increases is now . This seems to fit, as the increases alternate between and after the initial and .
- Calculate Missing Number: Calculate the missing number using the found increase.Since the increase from to the missing number is , we add to to find the missing number:The missing number in the sequence is .
