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What is the next term of the geometric sequence? 3,15,75", "

What is the next term of the geometric sequence?\newline3,15,753, 15, 75,

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Full solution

Q. What is the next term of the geometric sequence?\newline3,15,753, 15, 75,
  1. Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.\newlineIn the given sequence, each term after the first is obtained by multiplying the previous term by a constant number, which suggests that the sequence is geometric.
  2. Find Common Ratio: Identify the common ratio of the sequence.\newlineTo find the common ratio, divide the second term by the first term.\newlineCommon ratio rr = 153\frac{15}{3} = 55
  3. Calculate Next Term: Use the common ratio to find the next term in the sequence.\newlineThe next term is found by multiplying the last known term by the common ratio.\newlineNext term = 75×5=37575 \times 5 = 375

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