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If is a function such that and then the number of digits of the value of is .....
MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a function such that
f
(
x
−
1
)
+
f
(
x
+
1
)
=
3
f
(
x
)
f(x-1) + f(x+1) = \sqrt{3} f(x)
f
(
x
−
1
)
+
f
(
x
+
1
)
=
3
f
(
x
)
and
f
(
5
)
=
10
f(5) = 10
f
(
5
)
=
10
then the number of digits of the value of
∑
r
=
0
15
f
(
5
+
12
r
)
\sum_{r=0}^{15} f(5+12r)
∑
r
=
0
15
f
(
5
+
12
r
)
is .....
Related theory
Functions
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