Function Values from Recursive Equation (Jee Ma… | ExamDuo
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Arithmetic and Geometric Progression
Medium
Function Values from Recursive Equation
Consider a function
f
:
ℕ
→
ℝ
, satisfying
f
(
1
)
+
2
f
(
2
)
+
3
f
(
3
)
+
.
.
.
+
x
f
(
x
)
=
x
(
x
+
1
)
f
(
x
)
;
x
≥
2
with
f
(
1
)
=
1
. Then
1
f
(
2022
)
+
1
f
(
2028
)
is equal to
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