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Question 934435: What's the value for x that makes the given equation true.
-48 = 2x - 54???
A theater needs to place seats in rows. The function, f(r), as shown below, can be used to determine the number of seats in each row, where r is the row number.
f(1) = 8
f(r) = f(r - 1) + 3
how do i Use the function to complete a table indicating the number of seats in each of the first four rows of the theater.
Row Number
Number of seats...
Consider a sequence whose first five terms are 6, 12, 24, 48, 96.
what are the function (with domain of all integers n≥1) that can be used to define and continue this sequence.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! 1) -48 = 2x - 54
add 54 to both sides of =
2x = 6
x = 3
2) f(1) = 8
f(r) = f(r - 1) + 3
row 1 has 8 seats
row 2 has f(1) +3 = 11 seats
row 3 has f(2) +3 = 14 seats
row 4 has f(3) +3 = 17 seats
3) first five terms are 6, 12, 24, 48, 96
this is a geometric sequence with a = 6 and r = 2, then we have
Xn = a*r^(n-1), where n is the nth term, therefore
Xn = 6*2^(n-1)
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