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The common ratio of a G.P. is 2. If the 5th term is greater than...

Mathematics
WAEC 1991

The common ratio of a G.P. is 2. If the 5th term is
greater than the 1st term by 45, find the 5th term,

  • A. 3
  • B. 6
  • C. 45
  • D. 48
  • E. 90
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Correct Answer: Option D
Explanation

a = 1st term ; ar\(^4\) = 5th term
∴ ar\(^4\) = a(2)\(^4\) = 16a; 16a = 45 + a, a = 3;
3(2)\(^4\) = 48


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