Q. Type the missing number in this sequence:1, 3, 9, 27, _, 243
Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term appears to be a multiple of the previous term, suggesting that it is a geometric sequence.
Find Common Ratio: Identify the common ratio.To find the common ratio, we can divide a term by its preceding term. Using the second and third terms:39=3Common Ratio: 3
Find Missing Number: Find the missing number.The common ratio is 3, and the number before the missing term is 27.To find the next term, we multiply the last known term by the common ratio:27×3=81Missing Number: 81