(1*2)*2*2*2*2*2*2*2*2*2*2*2... until the number reaches closest to a billion, then give term number
or in other words...
U0=1
Un=(Un-1)*2 (where n is greater than or equal to 1) until you get closest to 1 billion, then give term #
2n = 1 000 000 000
log( 2n ) = log( 1 000 000 000 )
n · log( 2) = log( 1 000 000 000 )
n = log( 1 000 000 000 ) / log( 2 )
n = 29.897...
229 = 536 870 912
230 = 1 073 741 824
So, 230 is closest to 1 000 000 000 ---> n = 30