What is the (n)th term of the sequence \(12,6,3,\frac{3}{2},\ldots\)?
Answer and explanation
Correct answer: \(12\left(\frac{1}{2}\right)^{n-1}\)
Each term is multiplied by \(\frac{1}{2}\), so \(a_n=12\left(\frac{1}{2}\right)^{n-1}\). Keep the first term separate in a geometric sequence.
Frequently asked questions
What is the correct answer to this question?
\(12\left(\frac{1}{2}\right)^{n-1}\)
Why is this the correct answer?
Each term is multiplied by \(\frac{1}{2}\), so \(a_n=12\left(\frac{1}{2}\right)^{n-1}\). Keep the first term separate in a geometric sequence.
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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