Question 0501c

Sigma Notation
Method of Differences III

Question

Given that f(0)=2,{f(0)=2,} f(1)=6{f(1)=6} and f(2)=1,{f(2)=1,} express
r=1n(ur+1+3ur4ur1)\sum_{r=1}^n \Big( u_{r+1} + 3 u_r - 4 u_{r-1} \Big)
in the form
a+bun+cun+1,a + bu_n + cu_{n+1},
where a,b{a, b} and c{c} are constants.

Attempt

a={a=}
b={b=}
c={c=}

Answer

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