document.write( "Question 784184: Im so Lost could u please explain to me how to fin the sum 1+2....+80 \n" ); document.write( "

Algebra.Com's Answer #477023 by fcabanski(1391) $\"\"$ $\"About$

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This is a series (sum of) an arithmetic sequence. The common difference is 1. Each term is 1 more than the last term.

\n" ); document.write( "This sequence could also have other rules, such as \"the first two terms are 1 and 2, and then all other terms are 80.\" But for this series problem, we have to assume it's an arithmetic sequence.

\n" ); document.write( "The sum of a sequence (a series) 1+2+...n is S(n) = (n(a(1)+a(n))/2 where a(1) is the first term, a(n) is the nth term, n is the number in question (i.e. the desired term #), and S(n) is the sum of the terms.

\n" ); document.write( "S(n) = 80(1+80)/2 = 80*81/2 = 40*81 = 3240 \n" ); document.write( "

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