document.write( "Question 179157: pattern question
\n" ); document.write( "2, 3, 5, 7, 11...
\n" ); document.write( "My logic:
\n" ); document.write( "The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23 \n" ); document.write( "
Algebra.Com's Answer #134124 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
Edwin's solution:\r
\n" ); document.write( "\n" ); document.write( "2, 3, 5, 7, 11...
\n" ); document.write( "My logic:
\n" ); document.write( "The pattern looks like the first two #s increases by 1 (1 time), next two increases by 2 X the previous increase which was 1 and it happens 2 times, next increase is 2 X previous increase which was 2 and should happen 4 times, so the next number should be 15, then 19, then 23.
\n" ); document.write( "
\r\n" );
document.write( "You have figured a pattern that is perfectly logical!\r\n" );
document.write( "Your teacher could not consider that pattern incorrect.\r\n" );
document.write( "However, the sequence 2, 3, 5, 7, 11 are the first\r\n" );
document.write( "five prime numbers.\r\n" );
document.write( "\r\n" );
document.write( "A prime number is a positive integer which has exactly\r\n" );
document.write( "2 positive integer factore, one factor being 1 and the\r\n" );
document.write( "other factor is the positive number itself.\r\n" );
document.write( "\r\n" );
document.write( "So the next prime numbers after 11 are 13, then 17, 19, \r\n" );
document.write( "23, 29, 31, 37, 41, 43,...\r\n" );
document.write( "\r\n" );
document.write( "This shows that different sequences can have the first\r\n" );
document.write( "few terms the same, as does yours and the sequence of \r\n" );
document.write( "prime numbers.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );