Q. Type the missing number in this sequence:3,9,27,81,_
Identify Pattern: Identify the pattern in the sequence.The sequence is 3,9,27,81,____. Each number appears to be a multiple of 3. Let's check if there's a common factor between consecutive numbers.9÷3=327÷9=381÷27=3Each number is 3 times the previous number. This is a geometric sequence with a common ratio of 3.
Apply Pattern: Apply the pattern to find the missing number.The next number in the sequence should be 81 (the last known number) multiplied by the common ratio, which is 3.81×3=243
Verify Result: Verify the result.To ensure there's no math error, let's check if the found number fits the pattern.243÷81=3The result is indeed 3, which confirms that 243 is the correct next number in the sequence.