document.write( "Question 1139290: Pls help me solve this: 1):the 2pth term of an A.P is 50 more than the pth term and the (p+1)th term is 56.find the first term..
\n" ); document.write( "2): A G.P is such that the 3rd term minus the first term is 48.the 4th minus the second term is 44.find the common ratio, the first term and the 12th term. \n" ); document.write( "
Algebra.Com's Answer #757083 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            I will solve part  1)  only in my post.\r
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document.write( "Between  (2p)-th and p-th terms, there are exactly  \"p\" gaps (each gap size is exactly the common difference).\r\n" );
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document.write( "So, \"p\" gaps make 50, in total.\r\n" );
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document.write( "Also, there are 50 gaps between (p+1)-the term and 1-st term.\r\n" );
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document.write( "In other words, the difference between  \"a%5Bp%2B1%5D\"  and  \"a%5B1%5D\"  is  50.\r\n" );
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document.write( "We are also given that  \"a%5Bp%2B1%5D\" = 56.\r\n" );
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document.write( "Hence,  \"a%5B1%5D\" = 56 - 50 = 6.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On arithmetic progressions,  see introductory lessons\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( "in this site.\r
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\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
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Arithmetic progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Now I'll explain you,  why  I  solved only  # 1)  problem of your post.\r
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\n" ); document.write( "\n" ); document.write( "It because there is a   R U L E   in this forum:\r
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        One and only one problem per post.

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\n" ); document.write( "\n" ); document.write( "If you want to get all benefits from visiting this forum,  then   P L E A S E   follow this rule.\r
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