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Byju's Answer
Standard XII
Mathematics
nth Term of A.P
If a,b,c are ...
Question
If a,b,c are in AP that
1
a
,
1
b
,
1
c
are
Open in App
Solution
Given
a
,
b
,
c
are in A.P
i.e
2
b
=
a
+
c
.. (i)
Three numbers (p,q,r) are sold to be in
Harmone progression if
2
q
=
1
p
+
1
r
Here for
1
a
,
1
b
,
1
c
2
(
1
a
)
=
1
(
1
b
)
+
1
(
1
c
)
⇒
2
a
=
b
+
c
from (1)
∴
1
a
,
1
b
,
1
c
are in Harmonic progression
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1
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Standard XII Mathematics
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