Consider the task of arranging red, white, and blue flags on an n-foot flagpole with no gaps, where red flags are 4- feet high, white flags are 2-feet high, and blue flags are 1-foot high. Which of the following recurrence relations can be used to determine the number distinct ways x(n) of arranging red, white, and blue flags on the n-foot flagpole for n=1,2,3, ... if the appropriate initial conditions are known? O x(n) = x(n-3) + x(n-2) + x(n-1), n = 5,6,7, .. O x(n) = 4x(n-4) + 2x(n-2) + x(n-1), n = 5,6,7, . O x(n) = x(n-4) + x(n-2) + x(n-1), n = 5,6,7, . O x(n+4) = x(n) + x(n-1) + x(n-2), n = 1,2,3, ..

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the task of arranging red, white, and blue flags on an n-foot flagpole with no gaps, where red flags are 4-
feet high, white flags are 2-feet high, and blue flags are 1-foot high. Which of the following recurrence relations
can be used to determine the number distinct ways x(n) of arranging red, white, and blue flags on the n-foot
flagpole for n=1,2,3, ... if the appropriate initial conditions are known?
O x(n) = x(n-3) + x(n-2) + x(n-1), n = 5,6,7, ..
O x(n) = 4x(n-4) + 2x(n-2) + x(n-1), n 5,6,7, .
O x(n) = x(n-4) + x(n-2) + x(n-1), n = 5,6,7, ..
O x(n+4) = x(n) + x(n-1) + x(n-2), n = 1,2,3, ..
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Transcribed Image Text:Consider the task of arranging red, white, and blue flags on an n-foot flagpole with no gaps, where red flags are 4- feet high, white flags are 2-feet high, and blue flags are 1-foot high. Which of the following recurrence relations can be used to determine the number distinct ways x(n) of arranging red, white, and blue flags on the n-foot flagpole for n=1,2,3, ... if the appropriate initial conditions are known? O x(n) = x(n-3) + x(n-2) + x(n-1), n = 5,6,7, .. O x(n) = 4x(n-4) + 2x(n-2) + x(n-1), n 5,6,7, . O x(n) = x(n-4) + x(n-2) + x(n-1), n = 5,6,7, .. O x(n+4) = x(n) + x(n-1) + x(n-2), n = 1,2,3, .. • Previous Next Simpfun
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Given : red flags are 4-feet high, white flags are 2-feet high, and blue flags are 1-foot high

To find : recurrence relation that determines the number of distinct ways xn of arranging red, white and blue flags on the n-foot flagpole for n = 1, 2, 3, . . . . 

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