document.write( "Question 957478: write a formula for then term of the sequences 0 3 8 15 24 35
\n" ); document.write( "1 1/2 1/4 1/8 1/16..... \n" ); document.write( "

Algebra.Com's Answer #585098 by KMST(5328) $\"\"$ $\"About$

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The term number $\"n\"$ for 0 3 8 15 24 35 is
\n" ); document.write( " $\"T%5Bn%5D=n%5E2-1\"$ :
\n" ); document.write( " $\"T%5B1%5D=1%5E2-1=1-1=0\"$ ,
\n" ); document.write( " $\"T%5B2%5D=2%5E2-1=4-1=3\"$ ,
\n" ); document.write( " $\"T%5B3%5D=3%5E2-1=9-1=8\"$ ,
\n" ); document.write( " $\"T%5B4%5D=4%5E2-1=16-1=15\"$ ,
\n" ); document.write( "and so on,
\n" ); document.write( "The term number $\"n\"$ for 1 1/2 1/4 1/8 1/16..... is
\n" ); document.write( " $\"T%5Bn%5D\"$ = $\"1%2F%282%5E%28n-1%29%29\"$ , or $\"T%5Bn%5D=%281%2F2%29%5E%28n-1%29\"$ :
\n" ); document.write( " $\"T%5B1%5D\"$ = $\"1%2F%282%5E%281-1%29%29=1%2F%282%5E0%29=1%2F1=1\"$ ,
\n" ); document.write( " $\"T%5B2%5D\"$ = $\"1%2F2%5E1=1%2F2\"$ ,
\n" ); document.write( " $\"T%5B3%5D\"$ = $\"1%2F2%5E2=1%2F4\"$ ,
\n" ); document.write( " $\"T%5B4%5D\"$ = $\"1%2F2%5E3=1%2F8\"$ , and so on. \n" ); document.write( "

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