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What kind of sequence is this? 3,9,27,81,…3, 9, 27, 81, \ldots

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Full solution

Q. What kind of sequence is this? 3,9,27,81,…3, 9, 27, 81, \ldots
  1. Identify Pattern: Identify the pattern in the sequence by checking the ratio of consecutive terms.\newlineTo find the pattern, divide the second term by the first term, the third term by the second term, and so on:\newline9÷3=39 \div 3 = 3\newline27÷9=327 \div 9 = 3\newline81÷27=381 \div 27 = 3
  2. Determine Sequence Type: Determine the type of sequence based on the pattern found. Since each term is obtained by multiplying the previous term by 33, the sequence is a geometric sequence where the common ratio is 33.

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