Question

True or False.$\sum _{k=1}^{n}k=1+2+3+...+n=\frac{n(n+1)}{2}$

Short answer

$\sum _{k=1}^{n}k=1+2+3+...+n=\frac{n(n+1)}{2}$is a true statement.

Step-by-step solution

Step 1. Write the given information.

$\sum _{k=1}^{n}k=1+2+3+...+n=\frac{n(n+1)}{2}$

Step 2. Determine the statement is true or false.

We can get its preceding terms of thus sequence of first n natural numbers. thus, the given statement is true.