document.write( "Question 829363: what is the next number in this series 4, 7, 16, 43, 124 \n" ); document.write( "

Algebra.Com's Answer #499805 by josgarithmetic(39617) $\"\"$ $\"About$

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This is surely an exponential growth. Pick your base, either e or 10, or whatever you like; and try to fit to $\"y=a%2Ab%5E%28kx%29\"$ .
\n" ); document.write( "Use x as the index for your domain of Natural Numbers. \r
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\n" ); document.write( "\n" ); document.write( "The exponential equation can be put into a linear form:
\n" ); document.write( " $\"log%28%28y%29%29=log%28%28a%2Ab%5E%28kx%29%29%29\"$
\n" ); document.write( " $\"log%28%28y%29%29=log%28%28a%29%29%2Bkx%2Alog%28%28b%29%29\"$ ---as a linear equation.
\n" ); document.write( "Recognize that log(b) for your chosen base of b will be 1.
\n" ); document.write( " $\"log%28%28y%29%29=log%28%28a%29%29%2Bkx\"$
\n" ); document.write( " $\"highlight_green%28log%28%28y%29%29=kx%2Blog%28%28a%29%29%29\"$
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\n" ); document.write( "Your function NOW is log(y) for the vertical component and x for the horizontal component. This is an equation for a line, which your actual data may likely fit well. The slope is k, and the vertical axis intercept is log(a).\r
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\n" ); document.write( "\n" ); document.write( "Now knowing k and log((a)), your next value for x should be 6. Use this to determine log((y)), and then find y. \n" ); document.write( "

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