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The nth term of a sequence is \(2^{2n-1}\). Which term of the sequence is \(2^9?\)

Mathematics
WAEC 2001

The nth term of a sequence is \(2^{2n-1}\). Which term of the sequence is \(2^9?\)

  • A. 3rd
  • B. 4th
  • C. 5th
  • D. 6th
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Correct Answer: Option C
Explanation

\(T_{n} = 2^{2n - 1}\)

\(2^{2n - 1} = 2^9\)

\(2n - 1 = 9 \implies 2n = 9 + 1\)

\(2n = 10 \implies n = 5\)

The 5th term = 2\(^9\)


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