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The nth term of a sequence is given by 2\(^{2n - 1}\). Find the sum...

Mathematics
JAMB 2019

The nth term of a sequence is given by 2\(^{2n - 1}\). Find the sum of the first four terms.

  • A. 74
  • B. 32
  • C. 42
  • D. 170
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Correct Answer: Option D
Explanation

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

\(T_1 = 2^{2(1) - 1} \)

= 2

\(T_2 = 2^{2(2) - 1}\)

= 8

\(T_3 = 2^{2(3) - 1}\)

= 32

\(T_4 = 2^{2(4) - 1}\)

= 128

\(T_1 + T_2 + T_3 + T_4 = 2 + 8 + 32 + 128\)

= 170

There is an explanation video available below.


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Explanation Video

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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709