aalbersonne aalbersonne

21-07-2016
Mathematics

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find the sum of the sequence 36 37 38 39 ... 109=

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dalendrk dalendrk

24-07-2016

It's an arithmetic sequence:

[tex]a_1=36;\ a_2=37;\ a_3=38;\ ...\ ;\ a_{74}=109\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=36;\ n=74;\ a_{74}=109\\\\S_{74}=\dfrac{36+109}{2}\cdot74=\dfrac{145}{2}\cdot74=72.5\cdot74=5365[/tex]

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