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Karo-lina-s [1.5K]
2 years ago
14

An auditorium has 51 seats in the first​ row, 55 seats in the second​ row, 59 seats in the third​ row, and so on. Find the gener

al term of this arithmetic sequence and the number of seats in the twentieth row.
The general term a Subscript nan of this arithmetic sequence is nothing. ​(Simplify your​ answer.)
Mathematics
1 answer:
qaws [65]2 years ago
5 0

Answer:

127 seats

Step-by-step explanation:

r= row               s= seats

s= 47+4r

s= 47+4*20

s= 47+80

s=127  

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Answer:

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

Step-by-step explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

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Compression / Stretching B

Period of given function is \frac{8\pi }{3}

Period of cos x is 2π

\frac{8\pi }{3} = \frac{2\pi }{B} ⇒ B = \frac{3}{4}

Horizontal shift is C ÷ B

Horizontal shift of given function is \frac{\pi }{3}

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So, the equation of given function is

<em>y = - cos ( </em>\frac{3}{4}<em> x + </em>\frac{\pi }{4}<em> ) </em>

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