3 ms·
It approaches 2. 2/3+(2/3)^2 = 2/3 + 4/9 = 6/9+4/9=10/9 > 1, and all the terms are positive, so as you add more terms it will get farther from 1. If you do 10
by evanb 10y ago
It approaches 2. 2/3+(2/3)^2 = 2/3 + 4/9 = 6/9+4/9=10/9 > 1, and all the terms are positive, so as you add more terms it will get farther from 1. If you do 10 terms you get to 1.96532somethingsomething. If you do 100 terms you get 1.[seventeen 9s]508somethingsomething.
- BillBohan 10y agoleereves is correct. The sequence is 2/3 + 2/9 + 2/27 + 2/81 + 2/243 + ... and it does approach 1 In your second term you should take 2/3 of the remaining 1/3, not (2/3)^2