document.write( "Question 1099354: How many terms should we add to exceed 2335 when we add - 18 - 11 - 4 ...? \n" ); document.write( "
Algebra.Com's Answer #713786 by Boreal(15235) You can put this solution on YOUR website! 2335=(n/2)(a1+an) \n" ); document.write( "4670=n(a1+an) \n" ); document.write( "an=a1+d(n-1)=-18+7(n-1) \n" ); document.write( "substitute \n" ); document.write( "4670=n(-18+7n-7-18)=-43n+7n^2 \n" ); document.write( "7n^2-43n-4670=0 \n" ); document.write( "n=(1/14)(43+/- sqrt (43^2+28(4670)); sqrt term is equal to 364.16 \n" ); document.write( "n=(1/14)(407.16)=29.08, round up to 30 \n" ); document.write( "an=-18+7(29)=185 \n" ); document.write( "2335<=(29/2)(-18+185)=(14.5*167)=2421.5 \n" ); document.write( "-18 \n" ); document.write( "-11 \n" ); document.write( "-4 \n" ); document.write( "3 \n" ); document.write( "10 \n" ); document.write( "17 \n" ); document.write( "24 \n" ); document.write( "31 \n" ); document.write( "38 \n" ); document.write( "45 \n" ); document.write( "52 \n" ); document.write( "59 \n" ); document.write( "66 \n" ); document.write( "73 \n" ); document.write( "80 \n" ); document.write( "87 \n" ); document.write( "94 \n" ); document.write( "101 \n" ); document.write( "108 \n" ); document.write( "115 \n" ); document.write( "122 \n" ); document.write( "129 \n" ); document.write( "136 \n" ); document.write( "143 \n" ); document.write( "150 \n" ); document.write( "157 \n" ); document.write( "164 \n" ); document.write( "171 \n" ); document.write( "178 \n" ); document.write( "185 \n" ); document.write( "middle is half way between 15th and 16th \n" ); document.write( "That is 83.5 \n" ); document.write( "multiply that by 30=2505 \n" ); document.write( "sum of first 29 is 2505-185=2325. \n" ); document.write( "ANSWER IS 30 TERMS\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |