document.write( "Question 263488: How do you describe the pattern, write the next term and write the rule for the nth term for the sequences 1, 2, 4, 8,... \n" ); document.write( "

Algebra.Com's Answer #194170 by oberobic(2304) $\"\"$ $\"About$

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You note that the values are all divisible evenly by 2 (that is, there is no remainder). So the number 2 is part of the pattern...after you get past the starting 1.
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\n" ); document.write( "Of we know that $\"2%5E0\"$ (for that matter, any number 'x' raised to the zeroth power) = 1.
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\n" ); document.write( "And $\"2%5E1\"$ = 2.
\n" ); document.write( " $\"2%5E2\"$ = 4.
\n" ); document.write( " $\"2%5E3\"$ = 8.
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\n" ); document.write( "So that seems to match the pattern. The next in the sequence would likely be:
\n" ); document.write( " $\"2%5E4\"$ = 16.
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