document.write( "Question 634284: Find the sum of the first 10 terms of the series defined by the formula:\r
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document.write( "a(n) = -2n + 5 \n" );
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Algebra.Com's Answer #399572 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! First term: Plug in n = 1 and evaluate\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(n) = -2n + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(1) = -2(1) + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(1) = -2 + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(1) = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the first term is 3\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Second term: Plug in n = 2 and evaluate\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(n) = -2n + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(2) = -2(2) + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(2) = -4 + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(2) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the second term is 1\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Third term: Plug in n = 3 and evaluate\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(n) = -2n + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(3) = -2(3) + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(3) = -6 + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(3) = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the third term is -1\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "Keep this pattern going to find the fourth, fifth, ..., eighth, ninth, and tenth terms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Once you have all 10 terms, add them up to get the sum of the first ten terms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll let you finish.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Alternate method:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hint: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sum of first ten terms = (n*(first term + tenth term))/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where n = number of terms (which in this case, is n = 10) \n" ); document.write( " \n" ); document.write( " |