document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194645>Question 1194645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the sum of the first 50 even positive integers.\r<BR>\n" );
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document.write( "Select one:\r<BR>\n" );
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document.write( "a.<BR>\n" );
document.write( "2,550\r<BR>\n" );
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document.write( "b.<BR>\n" );
document.write( "2,650\r<BR>\n" );
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document.write( "c.<BR>\n" );
document.write( "2,600\r<BR>\n" );
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document.write( "d.<BR>\n" );
document.write( "2,500 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826886 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "A = Set of first 50 positive even integers<BR>\n" );
document.write( "A = {2, 4, 6, ..., 98, 100}<BR>\n" );
document.write( "A = {2*1, 2*2, 2*3, ..., 2*49, 2*50}\r<BR>\n" );
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document.write( "Adding those items gets us this expression:<BR>\n" );
document.write( "2*1+2*2+2*3+...+2*49+2*50<BR>\n" );
document.write( "2*(1+2+3+...+49+50)\r<BR>\n" );
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document.write( "From here we need to calculate the sum of the first 50 positive integers\r<BR>\n" );
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document.write( "S = sum of the first n positive integers<BR>\n" );
document.write( "S = n*(n+1)/2<BR>\n" );
document.write( "S = 50*(50+1)/2<BR>\n" );
document.write( "S = 50*51/2<BR>\n" );
document.write( "S = 25*51<BR>\n" );
document.write( "S = 1275<BR>\n" );
document.write( "which point us to<BR>\n" );
document.write( "1+2+3+...+49+50 = 1275\r<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "2*(1+2+3+...+49+50) = 2*1275 = 2,550\r<BR>\n" );
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document.write( "Answer: Choice A) 2,550<BR>\n" );
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