Question: Solve the following recursion using the characteristic formula t n = 2t n-1 - t n-2 for n >= 2 t 0 = 0 and

Solve the following recursion using the characteristic formula

tn = 2tn-1 - tn-2 for n >= 2

t0 = 0 and t1 = 1

The characteristic Equation

A recurrence of the form a0tn + a1tn-1 + ... + aktn-k = 0

Where k and each ai are constants, is call a homogeneous linear recurrence equation with constant coefficients or a HLRECC for short.

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