a. Find a recursive definition of the number of paths of length n. An b. Solve the recurrence relation using the characteristic root technique. An

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You have access to 1 x 1 tiles which come in 2 different
colors and 1 × 2 tiles which come in 3 different colors. We
want to figure out how many different 1 x n path designs
we can make out of these tiles.
a. Find a recursive definition of the number of paths of
length n.
An =
b. Solve the recurrence relation using the characteristic root
technique.
An
Transcribed Image Text:You have access to 1 x 1 tiles which come in 2 different colors and 1 × 2 tiles which come in 3 different colors. We want to figure out how many different 1 x n path designs we can make out of these tiles. a. Find a recursive definition of the number of paths of length n. An = b. Solve the recurrence relation using the characteristic root technique. An
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