### Home > PC > Chapter 2 > Lesson 2.2.1 > Problem2-43

2-43.

Write the following expression using summation notation.

$1^2+2^2+3^2+\dots+9^2+10^2$

How many terms are being added? Start your index at $1$. Stop at the last term. (Alternatively, you could start at $0$ and end at $9$.)

$\displaystyle\sum\limits_{k=1}^{10}$

Find the argument that will result in the desired expansion.

$\displaystyle\sum\limits_{k=1}^{10}k^2$