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Byju's Answer
Standard XI
Mathematics
Selecting Consecutive Terms in GP
If the produc...
Question
If the product of three consecutive terms of G.P. is 216 and the sum of product of pair-wise is 156, then the numbers will be
[MNR 1978]
A
1, 3, 9
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B
2, 6, 18
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C
3, 9, 27
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D
2, 4, 8
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Solution
The correct option is
B
2, 6, 18
Let numbers are
a
r
a
,
a
r
Under conditions, we get
a
r
a
.
a
r
=
216
⇒
a
=
6
And sum of product pair wise = 156
⇒
a
r
.
a
+
a
r
.
a
r
+
a
.
a
r
=
156
⇒
r
=
3
Hence numbers are 2, 6, 18.
Trick :
Since
2
×
6
×
18
=
216
(as given) and no other option gives the value.
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