Functional Equation Summation Alpha (Jee Mains) | ExamDuo
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Advanced Series
Medium
Functional Equation Summation Alpha
Let
f
:
N
→
R
be a function such that
f
(
x
+
y
)
=
2
f
(
x
)
f
(
y
)
for natural numbers
x
and
y
. If
f
(
1
)
=
2
, then the value of
α
for which
10
∑
k
=
1
f
(
α
+
k
)
=
512
3
(
2
20
−
1
)
holds, is :
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A
2
B
3
C
4
D
6
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