document.write( "Question 979914: What is the sum of all of the integers between 52 and 122 (square roots) ?? \n" ); document.write( "

Algebra.Com's Answer #601154 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "If you want to calculate the sum of all integers from 52 to 122\r
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\n" ); document.write( "\n" ); document.write( "52 + 53 + . . . + 122,\r
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\n" ); document.write( "\n" ); document.write( "then note that it is the sum of terms of an arithmetic progression.\r
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\n" ); document.write( "\n" ); document.write( "The first term of this progression is 52, the common difference is 1, and the number of terms is 122 - 51 = 71. \r
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\n" ); document.write( "\n" ); document.write( "So, you can apply the formula for the sum of arithmetic progression (see, for example, the lesson Arithmetic progressions in this site) \r
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\n" ); document.write( "\n" ); document.write( " $\"S\"$ = $\"%28%28a%5B1%5D+%2B+a%5Bn%5D%29%2An%29%2F2\"$ = $\"%2852+%2B+122%29%2A71%2F2\"$ = 6177.\r
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