
nth term
1, 1/2, 1/4, 1/8, 1/16,.....
in the sequence the first term is one and each term after the first is half the proceeding term. which of following answers represents the nth term of this sequence, where n is positive?
its 1/2^n1 because 1/2^3= 1/8 1/2^2=1/2  but my coworker said its 1/2^n
Can someone explain to me if i am doing this correctly.

Re: nth term
It depends whether or not the first term is considered to be term zero or term one.

Re: nth term

Re: nth term
Quote:
Originally Posted by
tahirakw the first term is 1.
You did not understand reply #2, did you?
It depends on where we begin the index.
We could define it as $\displaystyle t_k=2^{k}$ for $\displaystyle k=0,~1,~2,\cdots$.
Then your coworker is correct
OR we could define it as $\displaystyle t_k=2^{k+1}$ for $\displaystyle k=1,~2,~3,\cdots$.
Then you are correct

Re: nth term