Summation

Determine whether the following statement is true or false. $\sum_{r=1}^nr^2=\sum_{r=0}^nr^2$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^nk=\sum_{r=0}^nk$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^n\left(r+1\right)^2=\sum_{r=0}^n\left(r+1\right)^2$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^nk=\sum_{r=2}^{n+1}k$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^nr^2=\sum_{r=2}^{n+1}r^2$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^nr=\sum_{j=1}^nr$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^nr=\sum_{j=1}^nj$  

• True

• False

Determine whether the following statement is true or false. $\sum_{r=1}^n\left(r+2\right)^2=\sum_{r=3}^{n+2}r^2$  

• True

• False