Question 0501a

Sigma Notation
Method of Differences I

Question

Find, in terms of n,{n,}
r=1n(ur+1ur),\sum_{r=1}^n \Big( u_{r+1} - u_{r} \Big),
given that u0=2,{u_{0}=2,} u1=1{u_{1}=1} and u2=7.{u_{2}=7.}

Attempt

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

Answer

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