Question 707731: hi trying to find a pattern in the following numbers
1,2,6,14,____ can anyone help please
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! hi trying to find a pattern in the following numbers
1,2,6,14,____ can anyone help please
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n = 1: 1
n = 2: 1 + 2^0 = 2
n = 3: 1 + 2^0 + 2^2 = 6
n = 4: 1 + 2^0 + 2^2 + 2^3 = 14
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k-th term: 1 + 2^0 + 2^2 + 2^3 + ...+ 2^(k-1)
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Cheers,
Stan H.
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