Question

Jacob is a teacher. He made 75 cookies to give to his students on the first day of school. He gave 2 cookies to each student who showed up for class.
Let g(n), be the remaining number of cookies Jacob had before the n^th student arrived.

g is a sequence. What kind of sequence is it?

Arithmetic sequence

Geometric sequence

Complete the recursive formula for g(n).

g(1)= ______

g(n)= g(n-1) +/* ______

Answer 1

Answer:

arthemetic sequence :g(1)=75  g(n)=g(n−1)+(−2)

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Step-by-step explanation:

I did it on khan academy and it told me i was right so yeah

Answer 2

Answer:

See explanation

Step-by-step explanation:

Jacob has 75 cookies.

He gave 2 cookies to each student.

Complete the table:

$\begin{array}{cc}\text{Number of student arrived}&\text{Number of cookies left}\\1&75-2=73\\2&73-2=71\\3&71-2=69\\...&...\end{array}$

Let n be the number of students. After nth student arrived Jacob had left

$g(n)=75-2n$

cookies.

This is an arithmetic sequence with

$g_1=g(1)=73\\ \\d=-2$

Thus,

$g_{n}=g_{n-1}-2\\ \\g(n)=g(n-1)-2$