Chapter 14.5, Problem 1AYU

In Problems 29-32, find the first five terms in the sequence of partial sums for each series.

${\displaystyle \underset{k=1}{\overset{\infty }{\sum }}{k}^2}$

To determine

To fill: The formula for the area $A$ of a rectangle of length $l$ and width $w$ is __________.

Answer to Problem 1AYU

Solution:

$A=l\times w$

Explanation of Solution

Given:

Length of the rectangle is $l$.

Width of the rectangle is $w$.

Calculation:

The area of a rectangle is given by,

$\text{Area}=\text{length}\times \text{width}$

Therefore, the formula for the area $A$ of a rectangle of length $l$ and width $w$ is $A=l\times w$.