document.write( "Question 1168274: what is the first five terms and 50th term of this sequence.
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Algebra.Com's Answer #851626 by Edwin McCravy(20055) $\"\"$ $\"About$
You can put this solution on YOUR website!
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document.write( "I wrote a program in LibertyBasic using the given recursion formula\r\n" );
document.write( "and greenestamps' general formula.  Here is the LibertyBasic progrem:\r\n" );
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document.write( "  for n=1 to 50\r\n" );
document.write( "  if n=1 then a=3: goto 1\r\n" );
document.write( "  a=2*a+5\r\n" );
document.write( "1 print n, a, 2^(n+2)-5\r\n" );
document.write( "  next\r\n" );
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document.write( "They are identical, as you can see from the complete output below.  However, the\r\n" );
document.write( "50th term does not agree with greenestamps' 50th term.  He made a slight\r\n" );
document.write( "calculator error and got the 51st term by calculating 2^53-5 instead of 2^52-5.\r\n" );
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document.write( "              2a(n-1)-5\r\n" );
document.write( "              a(1)=3                      a(n)=2ⁿ⁺²-5                                                   \r\n" );
document.write( "1             3                           3\r\n" );
document.write( "2             11                          11\r\n" );
document.write( "3             27                          27\r\n" );
document.write( "4             59                          59\r\n" );
document.write( "5             123                         123\r\n" );
document.write( "6             251                         251\r\n" );
document.write( "7             507                         507\r\n" );
document.write( "8             1019                        1019\r\n" );
document.write( "9             2043                        2043\r\n" );
document.write( "10            4091                        4091\r\n" );
document.write( "11            8187                        8187\r\n" );
document.write( "12            16379                       16379\r\n" );
document.write( "13            32763                       32763\r\n" );
document.write( "14            65531                       65531\r\n" );
document.write( "15            131067                      131067\r\n" );
document.write( "16            262139                      262139\r\n" );
document.write( "17            524283                      524283\r\n" );
document.write( "18            1048571                     1048571\r\n" );
document.write( "19            2097147                     2097147\r\n" );
document.write( "20            4194299                     4194299\r\n" );
document.write( "21            8388603                     8388603\r\n" );
document.write( "22            16777211                    16777211\r\n" );
document.write( "23            33554427                    33554427\r\n" );
document.write( "24            67108859                    67108859\r\n" );
document.write( "25            134217723                   134217723\r\n" );
document.write( "26            268435451                   268435451\r\n" );
document.write( "27            536870907                   536870907\r\n" );
document.write( "28            1073741819                  1073741819\r\n" );
document.write( "29            2147483643                  2147483643\r\n" );
document.write( "30            4294967291                  4294967291\r\n" );
document.write( "31            8589934587                  8589934587\r\n" );
document.write( "32            17179869179                 17179869179\r\n" );
document.write( "33            34359738363                 34359738363\r\n" );
document.write( "34            68719476731                 68719476731\r\n" );
document.write( "35            137438953467                137438953467\r\n" );
document.write( "36            274877906939                274877906939\r\n" );
document.write( "37            549755813883                549755813883\r\n" );
document.write( "38            1099511627771               1099511627771\r\n" );
document.write( "39            2199023255547               2199023255547\r\n" );
document.write( "40            4398046511099               4398046511099\r\n" );
document.write( "41            8796093022203               8796093022203\r\n" );
document.write( "42            17592186044411              17592186044411\r\n" );
document.write( "43            35184372088827              35184372088827\r\n" );
document.write( "44            70368744177659              70368744177659\r\n" );
document.write( "45            140737488355323             140737488355323\r\n" );
document.write( "46            281474976710651             281474976710651\r\n" );
document.write( "47            562949953421307             562949953421307\r\n" );
document.write( "48            1125899906842619            1125899906842619\r\n" );
document.write( "49            2251799813685243            2251799813685243\r\n" );
document.write( "50            4503599627370491            4503599627370491\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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