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Type the missing number in this sequence:\newline3030, 3939, _\_, 5757, 6666, 7575, 8484

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Q. Type the missing number in this sequence:\newline3030, 3939, _\_, 5757, 6666, 7575, 8484
  1. Observe Pattern: Let's observe the pattern in the sequence to determine the rule that applies to the numbers given.\newline30,39,30, 39, _____, 57,66,75,8457, 66, 75, 84\newlineWe notice that each number is increasing by a certain amount. To find out the common difference, we subtract the second number from the third number in the sequence.\newline6657=966 - 57 = 9
  2. Determine Common Difference: Now, let's check if this difference of 99 applies to other consecutive numbers in the sequence.\newline7566=975 - 66 = 9\newline8475=984 - 75 = 9\newlineIt seems that the sequence is increasing by 99 each time.
  3. Check Consistency: To find the missing number, we can subtract 99 from 5757, the number that comes after the missing number.\newline579=4857 - 9 = 48\newlineTherefore, the missing number in the sequence should be 4848.
  4. Find Missing Number: Let's verify our answer by checking if adding 99 to the missing number gives us the next number in the sequence.\newline48+9=5748 + 9 = 57\newlineSince 5757 is the next number in the sequence, our calculation is correct.

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