MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
BMT Problems
2015 BMT Spring
2
2015 BMT Spring Analysis 2
2015 BMT Spring Analysis 2
Source:
January 20, 2022
algebra
Polynomials
Problem Statement
Let
g
(
x
)
=
1
+
2
x
+
3
x
2
+
4
x
3
+
…
g(x)=1+2x+3x^2+4x^3+\ldots
g
(
x
)
=
1
+
2
x
+
3
x
2
+
4
x
3
+
…
. Find the coefficient of
x
2015
x^{2015}
x
2015
of
f
(
x
)
=
g
(
x
)
1
−
x
f(x)=\frac{g(x)}{1-x}
f
(
x
)
=
1
−
x
g
(
x
)
.
Back to Problems
View on AoPS