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%3Cp%3EFind%20a%20recursive%20formula%20for%20each%20of%20the%20following%20sequ

ID: 2962702 • Letter: #

Question

%3Cp%3EFind%20a%20recursive%20formula%20for%20each%20of%20the%20following%20sequences.%0A(remember%20to%20mention%20how%20the%20sequence%20starts.)%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%0A%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3E%3C%2Fp%3E%0A%3Cp%3E%3C%2Fp%3E%0A%3Cp%20class%3D%22MsoNormal%22%3Ea)%202%2C%206%2C%2018%2C%2054%2C...%3C%2Fp%3E%0A%3Cp%20class%3D%22MsoNormal%22%3Eb)%201%2C%20-2%2C%204%2C%20-8%2C%2016%2C...%3C%2Fp%3E%0A%3Cp%20class%3D%22MsoNormal%22%3Ec)%202%2C%203%2C%20-1%2C%204%2C%20-5%2C%209%2C%20-14%2C.%3C%2Fp%3E%0A%3Cp%20class%3D%22MsoNormal%22%3Ed)%202%2C%20(1%2F4)%2C%2016%2C%20(1%2F256)%2C%2065536%2C..%3C%2Fp%3E%0A

Explanation / Answer

a(n) = 3*a(n-1),     a(0)=2

b(n) = -2*a(n-1),    b(0)=1

c(n) = -1*(c(n-1) - c(n-2)), c(0) = 2, c(1) = 3

d(n) = (1 / d(n-1) ) ^2   *** This one was tricky :)