anonymous
  • anonymous
please help medal will be awarded Which sequence is modeled by the graph below?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
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anonymous
  • anonymous
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SolomonZelman
  • SolomonZelman
Ok, the x-coordinate is the number of the term, and y-coordinate is the term. \(\large\color{black}{ \displaystyle ( }\) Such that \(\large\color{black}{ \displaystyle {\rm a}_{~x}~=~y~~) }\)
SolomonZelman
  • SolomonZelman
So, you have 3 points: (2,1) (3,3) (4,9) what these points mean, is that \(\large\color{black}{ \displaystyle a_2=1 }\) \(\large\color{black}{ \displaystyle a_3=3 }\) \(\large\color{black}{ \displaystyle a_4=9 }\)

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SolomonZelman
  • SolomonZelman
so, can you see the pattern here?
anonymous
  • anonymous
that goes up by 3
SolomonZelman
  • SolomonZelman
you mean multiplying times 3 each time, right?
anonymous
  • anonymous
yes
SolomonZelman
  • SolomonZelman
ok.
SolomonZelman
  • SolomonZelman
Did they give you the question as it is, without any options to it?
anonymous
  • anonymous
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
anonymous
  • anonymous
i feel like it is the third one because of the pattern u told me
SolomonZelman
  • SolomonZelman
yes, it is the third one. (not because of the pattern that i told you, but because of the pattern that you noticed)
SolomonZelman
  • SolomonZelman
the recursive formulas in every other option besides C have a wrong common ratio (not r=3)
SolomonZelman
  • SolomonZelman
Any questions?
anonymous
  • anonymous
yes
SolomonZelman
  • SolomonZelman
Oh, sure:) GO ahead...
anonymous
  • anonymous
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
anonymous
  • anonymous
im really confused
SolomonZelman
  • SolomonZelman
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 \(\large\color{black}{ \displaystyle a_{25} }\)
SolomonZelman
  • SolomonZelman
I wrote a phrase in gray, and below, a conversion of the statement into math.... is this understandable?
anonymous
  • anonymous
yes
anonymous
  • anonymous
is a25 =300
anonymous
  • anonymous
so that means its 480
SolomonZelman
  • SolomonZelman
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 \(\large\color{black}{ \displaystyle a_{25}=12+5(25-1) }\)
SolomonZelman
  • SolomonZelman
\(\large\color{black}{ \displaystyle a_{25}=12+5(25-1) }\) \(\large\color{black}{ \displaystyle a_{25}=12+5(24) }\) \(\large\color{black}{ \displaystyle a_{25}=12+5(20) +5(4) }\) \(\large\color{black}{ \displaystyle a_{25}=12+100 +20 }\) \(\large\color{black}{ \displaystyle a_{25}=132 }\)
SolomonZelman
  • SolomonZelman
i am writing it out like this, because I don't have a calc near by...
anonymous
  • anonymous
so how do you create an equation
SolomonZelman
  • SolomonZelman
create which equation"?
anonymous
  • anonymous
to predict the number of seats in any row
anonymous
  • anonymous
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.
SolomonZelman
  • SolomonZelman
yes
anonymous
  • anonymous
can i ask Another question
SolomonZelman
  • SolomonZelman
ok... i will try my best
anonymous
  • anonymous
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
SolomonZelman
  • SolomonZelman
okay.
anonymous
  • anonymous
im really confused again

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