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What is the next term of the geometric sequence? 5,20,80", "

What is the next term of the geometric sequence?\newline5,20,805, 20, 80,

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Full solution

Q. What is the next term of the geometric sequence?\newline5,20,805, 20, 80,
  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 because each term is larger than the previous one by more than a fixed difference.
  2. Find Common Ratio: Identify the common ratio.\newlineTo find the common ratio, divide a term by the previous term. Using the second and first term:\newline205=4\frac{20}{5} = 4\newlineCommon Ratio: 44
  3. Calculate Next Term: Find the next term.\newlineTo find the next term, multiply the last term by the common ratio.\newline80×4=32080 \times 4 = 320\newlineNext Term: 320320

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