document.write( "Question 963684: the 5th term of a sequence is -17 and the 11th term is -47. construct an arithmetic sequence that would model this pattern \n" ); document.write( "
Algebra.Com's Answer #588751 by josgarithmetic(39618)\"\" \"About 
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Basic Term in General for Arithmetic Sequence:
\n" ); document.write( "\"A%5Bn%5D=A%5B1%5D%2B%28n-1%29d\"
\n" ); document.write( "A[n], general n term
\n" ); document.write( "A[1], first term
\n" ); document.write( "n, index of the term
\n" ); document.write( "d, common difference to each successive term\r
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\n" ); document.write( "\n" ); document.write( "Let a be the first term of the sequence, d understood as already said;\r
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\n" ); document.write( "\n" ); document.write( "\"system%28-17=a%2B%285-1%29d%2C-47=a%2B%2811-1%29d%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28a%2B4d=-17%2Ca%2B10d=-47%29\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract corresponding equation members:
\n" ); document.write( "\"6d=17-47\"\r
\n" ); document.write( "\n" ); document.write( "\"6d=-30\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28d=-5%29\"\r
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\n" ); document.write( "\n" ); document.write( "You also want to know \"a\". Use either equation from the system.
\n" ); document.write( "\"a=-17-4d\"
\n" ); document.write( "\"a=-17-4%28-5%29\"
\n" ); document.write( "\"-17%2B20\"
\n" ); document.write( "\"highlight%28a=3%29\"\r
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\n" ); document.write( "\n" ); document.write( "You can find the first few terms of the sequence......!
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