Question

the relationship between womens whole-number shoe sizes and foot length forms an arithmetic sequence, where \\(a_n\\) is the foot length in inches that corresponds to a shoe size of \\(n\\). a womens size 3 fits a foot 8 inches long and womens size 7 fits a foot \\(9\frac{1}{3}\\) inches long.

what is the common difference of the arithmetic sequence?

the common difference is inch.

Explanation:

Identify the given sequence terms

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK0
$$

Set up the arithmetic sequence formula

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK1
$$

Solve for the common difference d

Using the Arithmetic Sequences knowledge point

$$
LATEXBLOCK2
$$

Answer:

The relationship between women's whole-number shoe sizes and foot length forms an arithmetic sequence, where \(a_n\) is the foot length in inches that corresponds to a shoe size of \(n\). A women's size 3 fits a foot 8 inches long and women's size 7 fits a foot \(9\frac{1}{3}\) inches long.

What is the common difference of the arithmetic sequence?

The common difference is <blank>\(\frac{1}{3}\)</blank> inch.