Peyos2005
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A clothing store is having a sale on T-shirts. The first T-shirt you buy costs \$7$7dollar sign, 7, and every additional shirt costs only \$5$5dollar sign, 5. Let f(n)f(n)f, left parenthesis, n, right parenthesis be the total cost of nnn shirts. fff is a sequence. What kind of sequence is it?

Answer :

calculista

Answer:

Is an arithmetic sequence (see the explanation)

Step-by-step explanation:

The correct question is

The first T-shirt you buy costs $7, and every additional shirt costs only $5. Let f(n) be the total cost of n shirts. F is a sequence. What kind of sequence is it?

Let

f(n) ----> the total cost

n ---> the number of shirts

we know that

For n=1

[tex]f(1)=7[/tex]

For n=2

[tex]f(2)=7+5=12[/tex]

For n=3

[tex]f(3)=7+5+5=f(2)+5=17[/tex]

For n=4

[tex]f(4)=7+5+5+5=f(4)+5=22[/tex]

so

In general

[tex]f(n)=f(1)+5(n-1)[/tex]

[tex]f(n)=7+5(n-1)[/tex]

[tex]f(n)=5n+2[/tex]

The sequence is

[tex]7,12,17,22,27,...[/tex]

This is an arithmetic sequence, because it is a sequence of numbers in which the common difference between consecutive terms is 5

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