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The relationship between women's whole
number shoe sizes and foot length forms an
arithmetic sequence, where is the foot
length in inches that corresponds to a shoe
size of n. A women's size 3 lits a foot 8 inches
long and women's size 7 lits a fool
9
inches long
What is the common difference of the arithmetic
sequence?

Respuesta :

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

[tex]a_3 = 8, a_7 = 9[/tex]

Hence:

[tex]a_7 = a_3 + (7 - 3)d[/tex]

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461

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