document.write( "Question 475308: Find a general term a_n for the geometric sequence.
\n" ); document.write( "a1=-1/7 r=6 show work \n" ); document.write( "

Algebra.Com's Answer #325919 by ccs2011(207) $\"\"$ $\"About$

You can put this solution on YOUR website!
Well look at the first four terms of the sequence:
\n" ); document.write( " $\"-1%2F7\"$ , $\"-6%2F7\"$ , $\"-36%2F7\"$ ...
\n" ); document.write( "Now notice you could factor out a common factor of $\"-1%2F7\"$ from each term.
\n" ); document.write( "Then the sequence would look like the following for n=1,2,3
\n" ); document.write( "n = 1, 2, 3 ...
\n" ); document.write( "An = 1, 6, 36 ...
\n" ); document.write( "establish a relationship and see if the pattern holds
\n" ); document.write( " $\"1+=+6%5E0+=+6%5E%281-1%29+=+6%5E%28n-1%29\"$
\n" ); document.write( " $\"6+=+6%5E1+=+6%5E%282-1%29+=+6%5E%28n-1%29\"$
\n" ); document.write( " $\"36+=+6%5E2+=+6%5E%283-1%29+=+6%5E%28n-1%29\"$
\n" ); document.write( "It does.
\n" ); document.write( "Therefore An = $\"%28-1%2F7%29%2A6%5E%28n-1%29\"$
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