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Mathematics 14 Online
OpenStudy (anonymous):

What is the sum of the series?

OpenStudy (anonymous):

OpenStudy (anonymous):

@Hero can you he

OpenStudy (anonymous):

*help me with this??

OpenStudy (anonymous):

\[\sum_{n=1}^{20}(5-n)=5\sum_{n=1}^{20}1-\sum_{n=1}^{20}n\] Recall some useful formulas: \[\sum_{n=1}^k1=1+1+1+\cdots+1=k\cdot1=k\\ \sum_{n=1}^kn=1+2+3+\cdots+k=\frac{k(k+1)}{2}\] So, \[\sum_{n=1}^{20}(5-n)=5\sum_{n=1}^{20}1-\sum_{n=1}^{20}n=5(20)-\frac{20(21)}{2}=100-210=-110\]

OpenStudy (anonymous):

thank you!

OpenStudy (anonymous):

can you help with another?

OpenStudy (anonymous):

@SithsAndGiggles

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