document.write( "Question 936448: Hello,
\n" ); document.write( "We are working on Arithmetic Sequences. I am stuck.
\n" ); document.write( "Can someone please help. I need to find a1 and d.\r
\n" ); document.write( "\n" ); document.write( "a15 = 129, a8=22(a1)\r
\n" ); document.write( "\n" ); document.write( "Thanks. \n" ); document.write( "
Algebra.Com's Answer #569921 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Hello,
\n" ); document.write( "We are working on Arithmetic Sequences. I am stuck.
\n" ); document.write( "Can someone please help. I need to find a1 and d.\r
\n" ); document.write( "\n" ); document.write( "a15 = 129, a8=22(a1)\r
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "
If what you're saying is that: \"a%5B15%5D+=+129\", and \"a%5B8%5D+=+22%28a%5B1%5D%29\", then:
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document.write( "1st term, or \"highlight_green%28a%5B1%5D+=+3%29\", and common difference, or \"highlight_green%28d+=+9%29\"\r
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document.write( "Since you confirmed that it is in fact: \"a%5B15%5D+=+129\", and \"a%5B8%5D+=+22%28a%5B1%5D%29\", then the solution follows:
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document.write( "\"a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d+\"
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document.write( "\"a%5B15%5D+=+a%5B1%5D+%2B+%2815+-+1%29d\"
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document.write( "\"a%5B15%5D+=+a%5B1%5D+%2B+14d\"
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document.write( "\"129+=+a%5B1%5D+%2B+14d\" ------ Substituting 129 for \"a%5B15%5D\" 
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document.write( "\"a%5B1%5D+=+129+-+14d\" ------- eq (i)\r
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document.write( "\"a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d\" 
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document.write( "\"a%5B8%5D+=+a%5B1%5D+%2B+%288+-+1%29d\"
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document.write( "\"a%5B8%5D+=+a%5B1%5D+%2B+7d\"
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document.write( "\"22%28a%5B1%5D%29+=+a%5B1%5D+%2B+7d\" ------ Substituting \"22%28a%5B1%5D%29\" for \"a%5B8%5D\" 
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document.write( "\"22a%5B1%5D+-+a%5B1%5D+=+7d\" 
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document.write( "\"21a%5B1%5D+=+7d\" ------- eq (ii)
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document.write( "21(129 – 14d) = 7d --------- Substituting 129 – 14d for \"a%5B1%5D\" in eq (ii)
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document.write( "2,709 – 294d = 7d
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document.write( "7d + 294d = 2,709
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document.write( "301d = 2,709
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document.write( "d, or common difference = \"2709%2F301\", or \"highlight_green%289%29\"\r
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document.write( "\"21a%5B1%5D+=+7%289%29\" -------- Substituting 9 for d in eq (ii)
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document.write( "\"21a%5B1%5D+=+63\"
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document.write( "1st term, or \"a%5B1%5D+=+63%2F21\", or \"highlight_green%283%29\"
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document.write( "You can do the check!! 
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