Mathematics, 02.11.2019 05:31 ashleytapiamo
Suppose that the sequence x0, x1, is defined by x0 = 4, x1 = 0, and xk+2 = 3xk+1+4xk for k≥0. find a general formula for xk. be sure to include parentheses where necessary, e. g. to distinguish 1/(2k) from 1/2k
Answers: 1
.
, with constant coefficients 
, 
and initial conditions 
, 
has a characteristic equation given by the formula 
, this equation has a degree 2 and has two roots 
and 
. If 
then 
is a solution of the recurrence relation, where 
and 
are the solution of the system
and 
are the inicial conditions and 
and 
. In order to find the general formula for 
, first we find its characteristic equation
⇔
⇔
⇔
∨ 
, we need to solve the system of equations
and 
, so a general formula for 
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Suppose that the sequence x0, x1, is defined by x0 = 4, x1 = 0, and xk+2 = 3xk+1+4xk for k≥0. find...
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