document.write( "Question 389888: Find the number of terms of the sequence 1,4,7,10... Must be taken if the sum is to exceed 100. \n" ); document.write( "
Algebra.Com's Answer #276412 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Find the number of terms of the sequence 1,4,7,10... for \"s%5Bn%5D+%3E+100\"
\n" ); document.write( "\"S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29\" In this example d = 3 and first term is = 1
\n" ); document.write( " n/2 [2 + 3(n-1)] > 100
\n" ); document.write( " n[2 + 3n-3)] > 200
\n" ); document.write( " 2n + 3n^2-3n > 200
\n" ); document.write( " 3n^2 - n - 200 = 0 \"n+=+%281+%2B-+sqrt%28+2401%29%29%2F%286%29=+%281%2B-49%29%2F6\"n=-8 or n= 8 1/3
\n" ); document.write( "\"S%5B9%5D=%284.5%29%282+%2B+%288%293%29=+117\"
\n" ); document.write( " Nine terms must be taken for sum to be > 100 \n" ); document.write( "
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