document.write( "Question 120256: Using the following sequence (-1,-5,-9,-13,...) find the function tn. \n" ); document.write( "

Algebra.Com's Answer #88125 by bucky(2189) $\"\"$ $\"About$

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Given the sequence (-1, -5, -9, -13, ...)
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\n" ); document.write( "To find the function, first note that the difference between terms is -4 which has to be
\n" ); document.write( "added to the preceding term to get the next term in the series.
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\n" ); document.write( "The first term is -1. So you can say that it equals 3 + (-4*1). The second term is then equal
\n" ); document.write( "to 3 + (-4*2) and the third term is 3 + (-4*3) and so on.
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\n" ); document.write( "Therefore, to calculate $\"t%5Bn%5D\"$ you can use the relationship:
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\n" ); document.write( " $\"t%5Bn%5D+=+-4%2An+%2B+3\"$
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\n" ); document.write( "where n represents the sequence number of the term you are looking for in the series. For example,
\n" ); document.write( "to find the 6th term in the series, substitute 6 for n and you have:
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\n" ); document.write( " $\"t%5B6%5D+=+-4%2A6+%2B+3+=+-24+%2B+3+=+-21\"$
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\n" ); document.write( "Hope this helps you to understand the problem and shows you a thought process that will
\n" ); document.write( "lead you to the answer.
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