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Type the missing numbers in this sequence:\newline1515, 1818, 2121, _\_, _\_, 3030

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Full solution

Q. Type the missing numbers in this sequence:\newline1515, 1818, 2121, _\_, _\_, 3030
  1. Identify Pattern: First, let's identify the pattern in the given sequence by finding the difference between consecutive numbers. We subtract the first number from the second, and the second from the third.\newlineCalculation: 18−15=318 - 15 = 3, 21−18=321 - 18 = 3
  2. Determine Common Difference: The differences between each pair of consecutive numbers are the same, which is 33. This indicates that the sequence is an arithmetic sequence with a common difference of 33.
  3. Find First Missing Number: To find the first missing number, we add the common difference to the last known number in the sequence.\newlineCalculation: 21+3=2421 + 3 = 24
  4. Find Second Missing Number: Now, to find the second missing number, we add the common difference to the number we just found.\newlineCalculation: 24+3=2724 + 3 = 27
  5. Complete Sequence: We have found both missing numbers in the sequence. The complete sequence is 15,18,21,24,27,3015, 18, 21, 24, 27, 30.

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