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Mathematics
Problem
If
a
1
,
a
2
,
a
3
,
…
,
a
n
a_1, a_2, a_3, \dots, a_n
a
1
,
a
2
,
a
3
,
…
,
a
n
are in H.P. and
f
(
k
)
=
∑
r
=
1
n
a
r
−
a
k
f(k) = \sum_{r=1}^{n} a_r - a_k
f
(
k
)
=
∑
r
=
1
n
a
r
−
a
k
then
a
1
f
(
1
)
,
a
2
f
(
2
)
,
a
3
f
(
3
)
,
…
,
a
n
f
(
n
)
\frac{a_1}{f(1)}, \frac{a_2}{f(2)}, \frac{a_3}{f(3)}, \dots, \frac{a_n}{f(n)}
f
(
1
)
a
1
,
f
(
2
)
a
2
,
f
(
3
)
a
3
,
…
,
f
(
n
)
a
n
are in: (a) A.P. (b) G.P. (c) H.P. (d) None of these
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