Question

I was wondering if I did this right?

The nth term of a geometric sequence is given by a_n=27(0.1)^n-1... Write the first five terms and find the tenth partial sum.

So for the first five terms, I was a bit confused... Would they be

27, 2.7, 0.27,0.027, and 0.0027?

and for the 10th partial sum, would it be 29.99?

Answer 1

27, 2.7, 0.27, 0.027, 0.0027. Those are correct

Answer 2

Oh yay! What I did to find the 10th partial sum was add up all the terms, but I'm not sure if that was the right thing to do..

Answer 3

The partial sum for n(1) -> n(5) is 29.9997 so yes you are doing it correctly.

Answer 4

Yes, the partial sum from n(1) -> n(10) = 29.9999...7

Answer 5

Thank you so much for helping! :D Hope you're having a great night!