Asked by Olaniyi
The sum of the first three term in a G.P is 38. Their product is 1728. Find the values of the three terms.
Answers
Answered by
oobleck
a(1+r+r^2) = 38
a*ar*ar^2 = 1728
now divide to get
r^3/(1+r+r^2) = 1728/38
now solve for r, then get a
note that (ar)^3 = 1728 = 12^3
so the 2nd term, ar = 12
the 1st term is 12/r
the 3rd term is 12r
a*ar*ar^2 = 1728
now divide to get
r^3/(1+r+r^2) = 1728/38
now solve for r, then get a
note that (ar)^3 = 1728 = 12^3
so the 2nd term, ar = 12
the 1st term is 12/r
the 3rd term is 12r
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