Question

please help
medal will be awarded
Which sequence is modeled by the graph below?

Answer 1

Ok, the x-coordinate is the number of the term, and y-coordinate is the term.

\(\large\color{black}{ \displaystyle ( }\) Such that \(\large\color{black}{ \displaystyle {\rm a}_{~x}~=~y~~) }\)

Answer 2

So, you have 3 points:
(2,1)
(3,3)
(4,9)

what these points mean, is that
\(\large\color{black}{ \displaystyle a_2=1 }\)
\(\large\color{black}{ \displaystyle a_3=3 }\)
\(\large\color{black}{ \displaystyle a_4=9 }\)

Answer 3

so, can you see the pattern here?

Answer 4

that goes up by 3

Answer 5

you mean multiplying times 3 each time, right?

Answer 6

yes

Answer 7

ok.

Answer 8

Did they give you the question as it is, without any options to it?

Answer 9

the options are
an=1/3(27)^n-1
an= 27(1/3)^n-1
an= 1/3(3)^n-1
an= 3(1/2)^n-1

Answer 10

i feel like it is the third one because of the pattern u told me

Answer 11

yes, it is the third one. (not because of the pattern that i told you, but because of the pattern that you noticed)

Answer 12

the recursive formulas in every other option besides C have a wrong common ratio (not r=3)

Answer 13

Any questions?

Answer 14

yes

Answer 15

Oh, sure:) GO ahead...

Answer 16

Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Help Jeff plan the rest of the seating by solving for how many seats are in row 25. Then explain to Jeff how to create an equation to predict the number of seats in any row. Show your work, and use complete sentences

Answer 17

im really confused

Answer 18

So, lets do this piece by piece.

`each row has 5 more seats than the row before it`

\(\large\color{black}{ \displaystyle \left(a_{n+1}\right) =\left(a_1\right)+5 }\)


`and the first row can only have 12 seats.`

\(\large\color{black}{ \displaystyle a_{1}=12 }\)

`help Jeff plan the rest of the seating by solving for how many seats are in row 25`

find \(\large\color{black}{ \displaystyle a_{25} }\)

Answer 19

I wrote a phrase in gray, and below, a conversion of the statement into math.... is this understandable?

Answer 20

yes

Answer 21

is a25 =300

Answer 22

so that means its 480

Answer 23

lets, see...

based on the first statement we know the common difference is 5.
(that is d=5)

\(\large\color{black}{ \displaystyle a_{n}=a_1+5(n-1) }\)

plugging in our information

\(\large\color{black}{ \displaystyle a_{25}=12+5(25-1) }\)

Answer 24

\(\large\color{black}{ \displaystyle a_{25}=12+5(25-1) }\)

\(\large\color{black}{ \displaystyle a_{25}=12+5(24) }\)

\(\large\color{black}{ \displaystyle a_{25}=12+5(20) +5(4) }\)

\(\large\color{black}{ \displaystyle a_{25}=12+100 +20 }\)

\(\large\color{black}{ \displaystyle a_{25}=132 }\)

Answer 25

i am writing it out like this, because I don't have a calc near by...

Answer 26

so how do you create an equation

Answer 27

create which equation"?

Answer 28

to predict the number of seats in any row

Answer 29

i guess the answer will be
Row one= 12
Row two= 12 + 5
The equation will be:
Row n = 12+5(n-1)
Where n is random number, the row will have 12 seats plus 5 for every row higher than 1.

So row 25 will have 12 + 5*(25-1)
12+24*5=12+120=132
Row 25 will have 132 seats.

Answer 30

yes

Answer 31

can i ask Another question

Answer 32

ok... i will try my best

Answer 33

Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)^x − 1. After combining the two functions, his new function is g(x) = 350(1.04)^x − 1. Using complete sentences, explain what this new function means

Answer 34

okay.

Answer 35

im really confused again