document.write( "Question 739087: 1-An aritmetic sequence has its 5th term equal to 22 and its 15th term equal to 62.Find its 100th term.
\n" ); document.write( "2-Find the sum of the first 50 even positive integers. \n" ); document.write( "

Algebra.Com's Answer #451008 by reviewermath(1029) $\"\"$ $\"About$

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1. The common difference (slope) is equal to $\"%2862+-+22%29%2F%2815+-+5%29+=+4\"$ .
\n" ); document.write( " The nth term is 4n + k, we solve for k by substituting n = 5 (and equate to 5th term).
\n" ); document.write( " 4(5) + k = 22 so k = 2.
\n" ); document.write( " The nth term is 4n + 2.
\n" ); document.write( " The 100th term is 4(100) + 2 = $\"highlight%28402%29\"$ .
\n" ); document.write( "2. The sum of the first n positive integers is equal to $\"n%28n%2B1%29%2F2\"$ and the sum of the first n even positive integers is $\"n%28n%2B1%29\"$ .
\n" ); document.write( " Therefore, the sum of the first 50 positive even integers is $\"50%2851%29+=++highlight%282550%29\"$ . \n" ); document.write( "

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