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If the second and fourth term of a G.P are 8 and 32 respectively,what is...

Mathematics
WAEC 1989
If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms?
  • A. 28
  • B. 40
  • C. 48
  • D. 60
  • E. 68
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Correct Answer: Option D
Explanation

ar = 8 .....(1)


ar3 = 32 .....(2)


divide (2) by (1)

r2 = 4 r = 2 ∴ a = 4



S =
a(rn - 1)/r - 1


S =
4(24 - 1)/2 - 1
= 60
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