SOLUTION: find the formula of tn for 3,6,12,24,48,96 thanks, victor

Question 714515: find the formula of tn for 3,6,12,24,48,96
thanks,
victor
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
Hello Victor!
let us look at your sequence 3, 6, 12, etc.
each term has the common factor of 3 i.e. we have the sequence
3*1, 3*2, 3*4, 3*8, 3*16, 3*32....
ignoring the 3's for a moment, the sequence is
1, 2, 4, 8, 16, 32...
these are all powers of two
i.e.

etc
The powers of 2 are 1 less than the position of the number in the sequence
so we can now say
the sequence is

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