Question 0501a

Sigma Notation
Method of Differences I

Question

Find, in terms of n,{n,}
r=1n(f(r)f(r+1)),\sum_{r=1}^n \Big( f(r) - f(r+1) \Big),
given that f(0)=8,{f(0)=8,} f(1)=4{f(1)=4} and f(2)=5.{f(2)=5.}

Attempt

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

Answer

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