1, 1/2, 1/4, 1/8, 1/16, ... | MathCelebrity Forum

1, 1/2, 1/4, 1/8, 1/16, ...

math_celebrity

Administrator
Staff member
At first glance, we see powers of 2 in the denominator of every term except the first one.

But if we remember 2^0 = 1, we get our breakthrough.

1/2^0 = 1/1 = 1

Therefore, we stagger the powers of 2 by 1 less than the term we are on:
a(n) = 1/2^(n - 1)

 
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