Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.

+2 votes

text({)1, 1/2, 1/4, 1/8, 1/16, ... text(})

asked Jan 12, 2012 in Calculus by Micheal Land (60 points)
    

1 Answer

+1 vote
 
Best answer

This is 1/2^n

f(0) = 1/2^0 = 1

f(1) = 1/2^1 = 1/2

f(2) = 1/2^2 = 1/4

f(3) = 1/2^3 = 1/8

f(4) = 1/2^4 = 1/16

And so on.  Note that the change is happening in the denominator, so I found the formula by identifying what changed with each iteration of the sequence.

 
answered Feb 19, 2012 by Hyperanthony ~Rookie~ (257 points)
selected Feb 19, 2012 by pokemonmaster

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