document.write( "Question 107853: Could someone please explain to me how to find an algebraic expression to calculate the nth term of the following sequence?:
\n" ); document.write( "2, 5, 11, 23, 47, 95, 191\r
\n" ); document.write( "\n" ); document.write( "I know that the equation to continue the series is 2x+1, but I've tried for 2 hours to figure out an equation for the nth term, and all I've gotten is frustrated!\r
\n" ); document.write( "\n" ); document.write( "Thanks so much for any help!!
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Algebra.Com's Answer #78615 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
look at the differences between terms ... 3, 6, 12, 24, 48, 96
\n" ); document.write( "... the difference is doubling, so 2 is being raised to a sequential power\r
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\n" ); document.write( "\n" ); document.write( "look at the terms ... 3-1, 3*2-1, 3*4-1, 3*8-1, 3*16-1, etc.
\n" ); document.write( "... 3*(2^0)-1, 3*(2^1)-1, 3*(2^2)-1, 3*(2^3)-1, etc.
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