The product of three numbers in G.P. is 216 and sum of their squares is 651. Find the numbers.
Answers
Answered by
0
Answer:
Correct option is A)
Let the numbers in G.P are,
r
a
,a,ar
⇒a=5
Also, a
2
(
r
1
.1+1.r+r.
r
1
)=
2
175
or
25(r
2
+r+1)=
2
175
r
or 2(r
2
+r+1)=7r
or 2r
2
−5r+2=0
or (r−2)(2r−1)=0
∴r=2,
2
1
Hence the numbers are 10,5,5/2 or 5/2,5,10
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Answer:
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