What is ∑n=18(3n−1) equal to? The top number is 8 bottom is n=1

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06-03-2018
Mathematics

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What is ∑n=18(3n−1) equal to? The top number is 8 bottom is n=1

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jdoe0001 jdoe0001 · Answer 1 · 2018-03-06T00:41:15+01:00

jdoe0001 jdoe0001

06-03-2018

[tex]\bf \sum\limits_{n=1}^{8}~3n-1\implies \sum\limits_{n=1}^{8}~3n-\sum\limits_{n=1}^{8}~1\implies 3\sum\limits_{n=1}^{8}~n-\sum\limits_{n=1}^{8}~1 \\\\\\ 3\left[ \cfrac{8(8+1)}{2} \right]~~-~~(8\cdot 1)\implies 3(36)~~-~~8\implies 108~-~8\implies 100[/tex]

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