Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Guichard-Combinatorics-Graph-Theory
· Problem 1.3.8
Fundamentals
Mathematics — Probability · binomial-coefficients
Problem
Verify that
(
n
+
1
2
)
+
(
n
2
)
=
n
2
\binom{n+1}{2} + \binom{n}{2} = n^2
(
2
n
+
1
)
+
(
2
n
)
=
n
2
. Use exercise 2 to find a simple expression for
∑
i
=
1
n
i
2
\sum_{i=1}^{n} i^2
∑
i
=
1
n
i
2
.
Related theory
General Term And Binomial Coefficients
Browse the problem library