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The sum, \(S_{n}\),  of a sequence is given by \(S_{n} = 2n^{2} - 5\). Find...

Further Mathematics
WAEC 2015

The sum, \(S_{n}\),  of a sequence is given by \(S_{n} = 2n^{2} - 5\). Find the 6th term.

  • A. 112
  • B. 67
  • C. 45
  • D. 22
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Correct Answer: Option D
Explanation

\(S_{n} = 2n^{2} - 5\)

\(T_{n} = S_{n} - S_{n - 1}\)

\(T_{6} = S_{6} - S_{5}\)

= \((2(6^{2} - 5) - (2(5^{2} - 5) = 62 - 40 = 22\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now