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smmailloux4966
smmailloux4966
01.01.2021 • 
Mathematics

Sequence and Series 83 Difficulty Level: B
6
(a) If a is A.M. between b and c, b is G.M. between a and c, then
prove that c will be H.M. between a and b.
(b) If a, b, c be in A.P., b, c, a in H.P., then show that c, a, b are in
G.P.
(c) Show that bº is greater than, equal to or less than ac according as
a, b, c are in A.P., G.P. and H.P.
If b + c,c + a, a + b are in H.P. then show that a, b, c are in
A.P.
[CTEVT 2074]
le
Prove that a, b, care in G.P. or in H.P. according as
a-ba
b-cb
>
a
or

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