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