Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
a
n
=
sin
2
n
n
2
a_n=\dfrac{\sin^{2} n}{n^{2}}
a
n
=
n
2
sin
2
n
. Decide whether
∑
n
=
1
∞
a
n
\displaystyle \sum_{n=1}^{\infty} a_n
n
=
1
∑
∞
a
n
converges or diverges, and justify your conclusion.
Browse the problem library