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Max is stacking logs at his campground for firewood. After his first load of logs, he has 8 logs on the stack. After the seventh load, he has 62 logs on the stack. Use sequence notation to represent the arithmetic function.

A] an = 8 + 6(n - 1)

B] an = 62 + 6(n - 1)

C] an = 8 + 9(n - 1)

D] an = 62 + 9(n - 1)

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elcharly64 elcharly64 · Answer 1 · 2019-12-26T23:25:01+01:00

Answer:

[tex]\displaystyle a_n=8+9(n-1)[/tex]

Correct option: C]

Step-by-step explanation:

Arithmetic Sequences

Each term in an arithmetic sequence is obtained as the previous term plus a constant number called the common difference. The general term is

[tex]\displaystyle a_n=a_1+(n-1).r[/tex]

We are given this information

[tex]\displaystyle a_1=8\ ,\ a_7=62[/tex]

Replacing those values in the formula

[tex]\displaystyle 62=8+(7-1).r[/tex]

Solving for r

[tex]\displaystyle r=\frac{62-8}{6}=\frac{54}{6}=9[/tex]

[tex]\displaystyle r=9[/tex]

The general term is, then

[tex]\displaystyle a_n=8+(n-1)9[/tex]

Or equivalently

[tex]\displaystyle a_n=8+9(n-1)[/tex]

Correct option: C]