Q. Type the missing numbers in this sequence:15, 18, 21, _, _, 30
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.Calculation: 18−15=3, 21−18=3
Determine Common Difference: The differences between each pair of consecutive numbers are the same, which is 3. This indicates that the sequence is an arithmetic sequence with a common difference of 3.
Find First Missing Number: To find the first missing number, we add the common difference to the last known number in the sequence.Calculation: 21+3=24
Find Second Missing Number: Now, to find the second missing number, we add the common difference to the number we just found.Calculation: 24+3=27
Complete Sequence: We have found both missing numbers in the sequence. The complete sequence is 15,18,21,24,27,30.
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