Asked by jodi
The third, the fourth and the fifth terms of a G.P. are (w+6), w,and (w-3) respectively.
a. Find the value of w.
b. Find the common ratio
a. Find the value of w.
b. Find the common ratio
Answers
Answered by
MathMate
By definition of a GP, the ratio of successive terms are equal.
So for (w+6), w, and (w-3), we have
(w-3)/w = w/(w+6)
cross multiply to get
w²+3w-18 = w²
Solve for w.
The ratio
(w-3)/w or w/(w+6) is the common ratio.
So for (w+6), w, and (w-3), we have
(w-3)/w = w/(w+6)
cross multiply to get
w²+3w-18 = w²
Solve for w.
The ratio
(w-3)/w or w/(w+6) is the common ratio.
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