Pattern Recognition -6

Find out the next two numbers in the series.

2,3,7,25,121,_,_,..........


Answer

Tn=n! +1


Even if we do not  know the term "factorial" still we can find a pattern for the number n-1.

2,3,7,25,121,_,_,.......................

1,2,6,24,120,_,_,.........................

1=1*1
2=1*2
6=2*3
24=6*4
120=24*5
next numbers  120*6=720
                         720*7=5040

now n series will be

2,3,7,25,121,721,5041,..............