document.write( "Question 73070: use the arthimetis sequence of numbers 1,3,5,7,9,... to find the following what is d, the difference between any 2 terms? show work\r
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\n" ); document.write( "\n" ); document.write( "Using the formula for the nth term of an arthimetoc sequence, what is the 101st term? show work?\r
\n" ); document.write( "\n" ); document.write( "Using the formula for the sum of an arthimetic sequence, what is the sum of the first 20 terms? show work\r
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Algebra.Com's Answer #52356 by rmromero(383)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "Use the arthimetis sequence of numbers 1,3,5,7,9,... to find the following what is d, the difference between any 2 terms? show work 
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document.write( "        d = 3 - 1 
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document.write( "          = 2              \r
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document.write( "Using the formula for the nth term of an arthimetoc sequence, what is the 101st term? show work? \r
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document.write( "\"a%5B1%5D+=+1\"
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document.write( "   d = 2
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document.write( "   n = 101
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document.write( "            \"a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%28101+-+1%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%28100%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+200\"
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document.write( "            \"a%5Bn%5D+=+201\"\r
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document.write( "Using the formula for the sum of an arthimetic sequence, what is the sum of the first 20 terms? show work \r
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document.write( "\"a%5B1%5D+=+1\"
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document.write( "   d = 2
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document.write( "   n = 20
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document.write( "                    n
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document.write( "            \"S%5Bn%5D\" = ___ \"%28a%5B1%5D+%2B+a%5Bn%5D%29\"
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document.write( "                    2
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document.write( "            
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document.write( "Let us find \"a%5Bn%5D\" first: 
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document.write( "            \"a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%2820+-+1%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%2819%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+38\"
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document.write( "            \"a%5Bn%5D+=+39\"\r
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document.write( "                    20
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document.write( "            \"S%5Bn%5D\" = ___ \"%281+%2B+39%29\"
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document.write( "                    2\r
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document.write( "                         
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document.write( "            \"S%5Bn%5D\" =  10 (40)
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document.write( "                       = 400                                   \r
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document.write( "            \r
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document.write( "Using the formula for the sum of an arthimetic sequence, what is the sum of the first 30 terms? show work\r
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document.write( "\"a%5B1%5D+=+1\"
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document.write( "   d = 2
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document.write( "   n = 30
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document.write( "                    n
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document.write( "            \"S%5Bn%5D\" = ___ \"%28a%5B1%5D+%2B+a%5Bn%5D%29\"
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document.write( "                    2
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document.write( "            
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document.write( "Let us find \"a%5Bn%5D\" first: 
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document.write( "            \"a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%2830+-+1%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+%2829%292\"
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document.write( "            \"a%5Bn%5D+=+1+%2B+58\"
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document.write( "            \"a%5Bn%5D+=+59\"\r
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document.write( "                    30
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document.write( "            \"S%5Bn%5D\" = ___ \"%281+%2B+59%29\"
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document.write( "                    2\r
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document.write( "                         
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document.write( "            \"S%5Bn%5D\" =  15 (60)
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document.write( "                       =  900         
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