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NDA Math Sequences and Series
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© examsnet.com
Question : 72
Total: 79
If p,q,r are in one geometric progression and a,b,c are in another geometric progression, then ap,bq,cr are in
[NDA II 2015]
Arithmetic progression
Geometric progression
Harmonic progression
None of the above
Validate
Solution:
Let the common ratio be K_1 for p, q and r.
∴
q
=
K
1
p
&
r
=
(
K
1
)
2
p
Let the common ratio be
K
2
for a,b and c
∴
b
=
K
2
a
&
c
=
(
K
2
)
2
a
∴
b
q
=
(
K
1
K
2
)
a
p
&
C
r
=
(
K
1
K
2
)
2
a
p
So ap,bq,cr are in G.P
© examsnet.com
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