document.write( "Question 1201458: write the following using sigma notation and find the sum 11,4,-3,-10,....,-143 \n" ); document.write( "
Algebra.Com's Answer #835864 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"sum%28%28a%5B1%5D%2B%28n-1%29d%29%2Cn=1%2C%22%3F%22%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2Cfirst%2Cterm%29\"\"%22%22=%22%22\"\"a%5B1%5D\"\"%22%22=%22%22\"\"11\"\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C2%2Ccommon%2Cdifference%29\"\"%22%22=%22%22\"\"d\"\"%22%22=%22%22\"\"4-11=-3-4=-10-%28-3%29=-10%2B3=-7\"\r\n" );
document.write( "\r\n" );
document.write( "\"sum%28%2811%2B%28n-1%29d%29%2Cn=1%2C%22%3F%22%29\"\"%22%22=%22%22\"\"sum%28%2811%2B%28n-1%29%28-7%29%29%2Cn=1%2C%22%3F%22%29\"\"%22%22=%22%22\"\"sum%28%2811-7%28n-1%29%29%2Cn=1%2C%22%3F%22%29\"\"%22%22=%22%22\"\"sum%28%2811-7n%2B7%29%2Cn=1%2C%22%3F%22%29\"\"%22%22=%22%22\"\"sum%28%2818-7n%29%2Cn=1%2C%22%3F%22%29\"\r\n" );
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document.write( "we need to find what n equals when 18-7n = -143\r\n" );
document.write( "                                     -7n = -161\r\n" );
document.write( "                                       n = 23\r\n" );
document.write( "\r\n" );
document.write( "\"sum%28%2818-7n%29%2Cn=1%2C23%29\"  <-- summation notation for sum\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"sum%2818%2Cn=1%2C23%29\"\"%22%22-%22%22\"\"7sum%28%28n%29%2Cn=1%2C23%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "We use the formula for \"sum%28%28n%29%2Cn=1%2CN%29\"\"%22%22=%22%22\"\"%28N%28N%2B1%29%29%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "\"18%2A23\"\"%22%22-%22%22\"\"7%2A%28%2823%2823%2B1%29%29%2F2%29\"\"%22%22=%22%22\"\"414-7%28%2823%2A24%29%2F2%29\"\"%22%22=%22%22\"\"414-1932\"\"%22%22=%22%22\"\"-1518\"  <--sum\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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