12. If the sum of three terms of GP is 19 and product is 216, then
the common ratio of the series is
(a)-3 upon 2
(b) 3 upon 2
(c) 2
(d) 3
Answers
Answered by
2
I THINK IT IS (B)
I AM NOT SURE OK BRO....
THANK YOU...--^^^---
Answered by
1
Answer:
b)3 upon 2 is the answer
Step-by-step explanation:
let the three numbers be a/r ,a,ar
a/r×a×ar=216
a^3=216
a=16
a/r +a+ar =19
a+ar+ar^2/r=19
substitute value of a, i.e. a=6
6+6r+6r^2=19r
6r^2-13r+6=0
6r^2-9r-4r+6=0
3r(2r-3)-2(2r-3)=0
2r-3=0. 3r-2=0
r=3/2. or. r=2/3
according to the options, 3/2 is the answer
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