the powers of 2 that are in the range 2 through 1,000 are 2,4,8,16,32,64,128,256,& 512 .what does that mean and it said find all the powers of 3 that are in range 3 through 1,000 im so confused

" This means that we are asked to find the value of for each n belonging to natural numbers.

Now we will stop our approximation when the value exceeds 1000.

i.e. the range is from 2-1000 ".

since the next number after 512 is 512×2=1024 which exceeds 1000. hence our successive approximation will stop at 512.

We will start writing our approximation and stop when it will exceed 1000.

i.e.

i.e. the sequence is: 3,9,27,81,243,729.

We stopped at 729 because the next number in the series would be:

which exceeds 1000.

i would have to say it is c.