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13
Assam Mathematics Olympiad 2023 Category III Q13
Assam Mathematics Olympiad 2023 Category III Q13
Source:
September 11, 2024
Problem Statement
Let
S
(
r
)
S(r)
S
(
r
)
denote the sum of the infinite geometric series
17
+
17
r
+
17
r
2
+
17
r
3
+
.
.
.
17 + 17r + 17r^2 +17r^3 + . . .
17
+
17
r
+
17
r
2
+
17
r
3
+
...
for
−
1
<
r
<
1
-1 < r < 1
−
1
<
r
<
1
. If
S
(
a
)
×
S
(
−
a
)
=
2023
S(a) \times S(-a) = 2023
S
(
a
)
×
S
(
−
a
)
=
2023
, find
S
(
a
)
+
S
(
−
a
)
S(a) + S(-a)
S
(
a
)
+
S
(
−
a
)
.
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