document.write( "Question 968156: Find the indicated sum:\r
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Algebra.Com's Answer #591805 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
Find the indicated sum:\r
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document.write( "One of two formula for the sum of n terms is\r\n" );
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document.write( "\"S%5Bn%5D\"\"%22%22=%22%22\"\"expr%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29\"\r\n" );
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document.write( "We have a1 = 6 and an = 300\r\n" );
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document.write( "so we must find d and n\r\n" );
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document.write( "6 + 12 + 18 + ... + 300\r\n" );
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document.write( "First we determine the common difference, d\r\n" );
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document.write( "d = (2nd term)-(1st term) = (3rd term)-(2nd term) = 12-6 = 18-12 = 6\r\n" );
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document.write( "Next we determine the number of terms, n:\r\n" );
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document.write( "We use the formula for the nth term\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "\"300\"\"%22%22=%22%22\"\"6%2B%28n-1%296\"\r\n" );
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document.write( "\"300\"\"%22%22=%22%22\"\"6%2B6%28n-1%29\"\r\n" );
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document.write( "\"300\"\"%22%22=%22%22\"\"6%2B6n-6\"\r\n" );
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document.write( "\"300\"\"%22%22=%22%22\"\"6n\"\r\n" );
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document.write( "\"50\"\"%22%22=%22%22\"\"n\"\r\n" );
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document.write( "Now we can substitute in\r\n" );
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document.write( "\"S%5Bn%5D\"\"%22%22=%22%22\"\"expr%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"expr%2850%2F2%29%286%2B300%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"25%28306%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"7650\"\r\n" );
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document.write( "---------------\r\n" );
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document.write( "Notice that we could have used the other sum formula just as well:\r\n" );
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document.write( "\"S%5Bn%5D\"\"%22%22=%22%22\"\"expr%28n%2F2%29%282%5E%22%22a%5B1%5D%2B%28n-1%29d%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"expr%2850%2F2%29%282%286%29%5E%22%22%2B%2850-1%296%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"25%2812%5E%22%22%2B%2849%296%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"25%2812%2B294%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"25%28306%29\"\r\n" );
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document.write( "\"S%5B50%5D\"\"%22%22=%22%22\"\"7650\"\r\n" );
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document.write( "Edwin
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