Question 0501a

Sigma Notation
Method of Differences I

Question

Find, in terms of n,{n,}
r=1n(f(r1)f(r)),\sum_{r=1}^n \Big( f(r-1) - f(r) \Big),
given that f(0)=7,{f(0)=7,} f(1)=6{f(1)=6} and f(2)=8.{f(2)=8.}

Attempt

The answer is of the form
where a={a=}

Answer

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