document.write( "Question 1086131: How to find the sum of the first 10 terms of each arithmetic sequence?\r
\n" ); document.write( "\n" ); document.write( " 1. a(sub1) = 11 and a(sub10) = 38\r
\n" ); document.write( "\n" ); document.write( " 2. a (sub1) = 10 and a(sub10) = 55 \n" ); document.write( "
Algebra.Com's Answer #700319 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "How to find the sum of the first 10 terms of each arithmetic sequence?\r
\n" ); document.write( "\n" ); document.write( " 1. a(sub1) = 11 and a(sub10) = 38\r
\n" ); document.write( "\n" ); document.write( " 2. a (sub1) = 10 and a(sub10) = 55
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "1.  Use the formula for the sum of an arithmetic progression\r\n" );
document.write( "\r\n" );
document.write( "    \"S%5Bn%5D\" = \"%28%28a%5B1%5D%2Ba%5Bn%5D%29%2F2%29%2An\":   \"S%5B10%5D%7D+=+%7B%7B%7B%28%28a%5B1%5D%2Ba%5B10%5D%29%2F2%29%2A10\" = \"%28%2811%2B38%29%2F2%29%2A10\" = \"%2849%2F2%29%2A10\" = 24.5*10 = 245.\r\n" );
document.write( "\r\n" );
document.write( "    You do not need to calculate the common difference in this case.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Do THE SAME:\r\n" );
document.write( "\r\n" );
document.write( "    \"S%5Bn%5D\" = \"%28%28a%5B1%5D%2Ba%5Bn%5D%29%2F2%29%2An\":   \"S%5B10%5D\" = \"%28%28a%5B1%5D%2Ba%5B10%5D%29%2F2%29%2A10\" = \"%28%2810%2B55%29%2F2%29%2A10\" = \"%2865%2F2%29%2A10\" = 32.5*10 = 325.\r\n" );
document.write( "\r\n" );
document.write( "    Again, you do not need to calculate the common difference in this case.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "See introductory lessons on arithmetic progressions in this site\r
\n" ); document.write( "\n" ); document.write( "    - Arithmetic progressions (*)\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for arithmetic progressions (*)\r
\n" ); document.write( "\n" ); document.write( "    - Problems on arithmetic progressions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction and arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - One characteristic property of arithmetic progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on arithmetic progressions \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The lessons marked (*) contain the formulas to sum arithmetic progression: read them very attentively.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );