Question 747683: A theater has 49 seats in the first row, 53 seats in the second row, 57 seats in the third row, and so on. Answer the following questions:
1) Can the number of seats in each row be modeled by an arithmetic or geometric sequence? (which type of sequence is it)
2) Write the general term for a sequence an that gives the number of seats in row n.
3) How many seats are there in row 18?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A theater has 49 seats in the first row, 53 seats in the second row, 57 seats in the third row, and so on. Answer the following questions:
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49,53,57, etc.
a(1) = 49
d = 53-49 = 4
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1) Can the number of seats in each row be modeled by an arithmetic or geometric sequence? (which type of sequence is it)
Answer: arithmetic
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2) Write the general term for a sequence an that gives the number of seats in row n.
a(n) = 49 + (n-1)4
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3) How many seats are there in row 18?
a(18) = 49 + (17)*4 = 117
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Cheers,
Stan H.
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