document.write( "Question 680379: What is the next 4 numbers in this pattern\r
\n" ); document.write( "\n" ); document.write( "1,5,13,26,45,71 \n" ); document.write( "
Algebra.Com's Answer #422355 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "I'm sure you meant to say:\r\n" );
document.write( "\r\n" );
document.write( "\"What are the next 4 numbers in this pattern?\"  I don't care if this is math; grammar, spelling, and punctuation still count.\r\n" );
document.write( "\r\n" );
document.write( "Use the method of common differences.\r\n" );
document.write( "\r\n" );
document.write( " 1     5    13   26    45    71\r\n" );
document.write( "  \  /  \  /  \ /  \  /  \  /\r\n" );
document.write( "    4     8    13   19    26\r\n" );
document.write( "     \  /  \  /  \ /  \  /\r\n" );
document.write( "       4     5     6    7\r\n" );
document.write( "        \  /  \  /  \  /\r\n" );
document.write( "          1     1     1\r\n" );
document.write( "\r\n" );
document.write( "It took 3 iterations of taking the differences to find where the differences are common.  Hence, the series is modeled by a 3rd degree polynomial.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since :\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since :\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Likewise\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve the 4X4 system for the ordered quadruple \">\r\n" );
document.write( "\r\n" );
document.write( "Once you have the values of a, b, c, and d, you can write the function that results in the  term by plugging those values into:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From there it is a simple matter of calculating the values of , , , and \r\n" );
document.write( "\r\n" );
document.write( "

\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "
\"The

\n" ); document.write( " \n" ); document.write( "
\n" );