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Type the missing number in this sequence:\newline4545, 3939, _____\_\_\_\_\_, 2727, 2121, 1515, 99

Full solution

Q. Type the missing number in this sequence:\newline4545, 3939, _____\_\_\_\_\_, 2727, 2121, 1515, 99
  1. Identify Pattern: We need to identify the pattern in the sequence. Let's look at the difference between the consecutive numbers that are given.\newline4539=645 - 39 = 6\newlineSo, the difference here is 66.
  2. Check Consistency: Now let's check if the same difference applies to the other given numbers in the sequence.\newline2721=627 - 21 = 6\newline2115=621 - 15 = 6\newline159=615 - 9 = 6\newlineIt seems that the pattern is consistent, and the sequence decreases by 66 each time.
  3. Find Missing Number: To find the missing number, we subtract 66 from 3939, which is the number immediately before the missing number in the sequence.\newline396=3339 - 6 = 33\newlineSo, the missing number should be 3333.
  4. Verify Solution: Let's quickly verify that adding 66 to the missing number gives us the next number in the sequence.\newline33+6=3933 + 6 = 39\newlineThis confirms that our pattern is correct and the missing number is indeed 3333.

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