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Question Number 7147 by Tawakalitu. last updated on 13/Aug/16

Commented by Yozzii last updated on 13/Aug/16

$$u\left(n\right)=(-1+2)+(-3+4)+(-5+6)+...+(-(2n-1)+2n)$$$$u\left(n\right)=\underset{i=1}{\sum ^n}(-2n+1+2n)=n$$$$u\left(\frac{{10}^9}{2}\right)=\frac{{10}^9}{2}$$$${10}^9+\underset{k=0}{\sum ^{{10}^9}}k{(-1)}^k={10}^9+\underset{k=1}{\sum ^{{10}^9}}k{(-1)}^k=\frac{3\times {10}^9}{2}$$$$$$

Commented by Tawakalitu. last updated on 13/Aug/16

$$Thankssomuchsir.ireallyappreciate$$$$$$

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