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What is the (n)th term of the sequence \(12,6,3,\frac{3}{2},\ldots\)?

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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.

Related tags

SequencesProgressionsNth-TermGeometric

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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