document.write( "Question 550735: direction: write a rule for the nth term of the arithmetic sequence\r
\n" ); document.write( "\n" ); document.write( "30. d=4, a14=46
\n" ); document.write( "31. d=-12, a1=80. the answer is an = 92-12n but how?
\n" ); document.write( "32. d=5/3, a8=24
\n" ); document.write( "33. a5=17, a15=77
\n" ); document.write( "34. d=-6, a12=-4
\n" ); document.write( "35. a2=-28, a20=52
\n" ); document.write( "37. a7=34, a18=122\r
\n" ); document.write( "\n" ); document.write( "please show me the work with each of these problems so i could understand the concept behind it a little bit better. thanks for ur help and happy new year! \n" ); document.write( "
Algebra.Com's Answer #359033 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The formula for all of them is an = a1 + (n-1)d\r\n" );
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document.write( "direction: write a rule for the nth term of the arithmetic sequence\r\n" );
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document.write( "30. d=4, a14=46\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a14 = a1 + (14-1)(4)\r\n" );
document.write( "46 = a1 + 13(4)\r\n" );
document.write( "46 = a1 + 52\r\n" );
document.write( "-6 = a1\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "an = -6 + (n-1)(4)\r\n" );
document.write( "an = -6 + 4n - 4\r\n" );
document.write( "an = 4n - 10\r\n" );
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document.write( "31. d=-12, a1=80. \r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "an = 80 + (n-1)(-12)\r\n" );
document.write( "an = 80 - 12n + 12\r\n" );
document.write( "an = 92 - 12n\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "32. d=5/3, a8=24\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a8 = a1 + (8-1)(\"5%2F3\")\r\n" );
document.write( "24 = a1 + (7)(\"5%2F3\")\r\n" );
document.write( "24 = a1 + \"35%2F3\"\r\n" );
document.write( "3·24 = 3a1 + 35\r\n" );
document.write( "72 = 3a1 + 35\r\n" );
document.write( "37 = 3a1\r\n" );
document.write( "\"37%2F3\" = a1\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "an = \"37%2F3\" + (n-1)(\"5%2F3\")\r\n" );
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document.write( "3an = 37 + (n-1)5\r\n" );
document.write( "3an = 37 + 5n - 5\r\n" );
document.write( "3an = 32 + 5n\r\n" );
document.write( " an = \"%2832%2B5n%29%2F3\"\r\n" );
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document.write( "-------------------\r\n" );
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document.write( "33. a5=17, a15=77\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a5 = a1 + (5-1)d\r\n" );
document.write( "17 = a1 + 4d\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a15 = a1 + (15-1)d\r\n" );
document.write( "77 = a1 + 14d\r\n" );
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document.write( "Solve system of equations:\r\n" );
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document.write( "\"system%28a1%2B4d=17%2Ca1%2B14d=77%29\"\r\n" );
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document.write( "get a1 = -7, d = 6\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "an = -7 + (n-1)(6)\r\n" );
document.write( "an = -7 + 6n - 6\r\n" );
document.write( "an = 6n - 13\r\n" );
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document.write( "------------------\r\n" );
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document.write( "34. d=-6, a12=-4\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "a12 = a1 + (12-1)(-6)\r\n" );
document.write( "-4 = a1 + (11)(-6)\r\n" );
document.write( "-4 = a1 - 66\r\n" );
document.write( "62 = a1\r\n" );
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document.write( "an = a1 + (n-1)d\r\n" );
document.write( "an = 62 + (n-1)(-6)\r\n" );
document.write( "an = 62 - 6(n-1)\r\n" );
document.write( "an = 62 - 6n + 6\r\n" );
document.write( "an = 68 - 6n\r\n" );
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document.write( "You do the last two.  They're like 33.\r\n" );
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document.write( "35. a2=-28, a20=52\r\n" );
document.write( "37. a7=34, a18=122\r\n" );
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document.write( "Edwin
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