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What is the (n)th term of the sequence (81,27,9,3,1,\ldots)?
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Answer and explanation
Correct answer: \(81\left(\frac{1}{3}\right)^{n-1}\)
Each term is multiplied by \(\frac{1}{3}\), so \(a_n=81\left(\frac{1}{3}\right)^{n-1}\). Keep the first term fixed and use exponent (n-1).
Frequently asked questions
What is the correct answer to this question?
\(81\left(\frac{1}{3}\right)^{n-1}\)
Why is this the correct answer?
Each term is multiplied by \(\frac{1}{3}\), so \(a_n=81\left(\frac{1}{3}\right)^{n-1}\). Keep the first term fixed and use exponent (n-1).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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