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What is the next term of the geometric sequence? 135,45,15", "

What is the next term of the geometric sequence?\newline135,45,15135, 45, 15,

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Full solution

Q. What is the next term of the geometric sequence?\newline135,45,15135, 45, 15,
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, consecutive terms seem to have a common ratio rr.\newlineThe given sequence is geometric.
  2. Find Common Ratio: Identify the common ratio.\newlineTwo consecutive terms are 135135 and 4545.\newline45135=13\frac{45}{135} = \frac{1}{3}\newlineCommon Ratio: 13\frac{1}{3}
  3. Find Next Term: Find the next term in the sequence.\newlineThe last term given is 1515, and the common ratio is 13\frac{1}{3}.\newline15×(13)=515 \times \left(\frac{1}{3}\right) = 5\newlineNext Term: 55

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