+0  
 
+1
755
1
avatar+476 

(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 #

 Sep 21, 2016
 #1
avatar+23252 
0

2n  =  1 000 000 000

log( 2)  =  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

 Sep 22, 2016

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