document.write( "Question 81308: \"Find the sum of the first 50 terms of the arithmetic series with first term = -1 and fifth term 9.\"\r
\n" );
document.write( "\n" );
document.write( "So far I tried to find d. Then I tried to plug it into a(sub n) = a(sub 1) + (n - 1)d, so that I could find a(sub n). Then I plugged everything into the formula S(sub n) = n/2(a(sub 1) + a(sub n). But I got a number that doesn't look right. If anyone could help me with this, I would very much appreciate it. Thanks. \n" );
document.write( "
Algebra.Com's Answer #58247 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \"Find the sum of the first 50 terms of the arithmetic series with first term = \n" ); document.write( "-1 and fifth term 9.\" \n" ); document.write( "------------ \n" ); document.write( "a(1) = -1 \n" ); document.write( "a(5) = -1 + 4d = 9 \n" ); document.write( "4d=9+1 \n" ); document.write( "d=5/2=2.5 \n" ); document.write( "----------------- \n" ); document.write( "a(50) = -1+49d=-1+49*2.5= 121.5 \n" ); document.write( "------------- \n" ); document.write( "S(50) = (50/2)(-1+121.5) \n" ); document.write( "=25(120.5) \n" ); document.write( "=3012.5 \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |