Question

What is the equation for the sequence 1, 2, 1/4, 8, 1/16, 32,......

Answer 1

I see

2^0 , 2^1 , 2^-2 , 2^3 , 2^-4, 2^5 , ...

Try to state a general term for this.

let me know what you got.

Answer 2

how do i write that in terms of An? like An= (2)^n(-1)^n
some thing like that? or is that right

Answer 3

first of all, notice your primary exponent of n has to be one less than the term number

so lets start with 2^(n-1)
to give us 1,2,4,8,....

now you want to make all odd-numbered terms to have a negative exponent
Your (-1)^n does that perfectly.

so you were very close,

Term(n) = 2^((n-1)(-1)^n)