A certain 300-term geometric sequence has first term 1337 and common ratio 
. How many terms of this sequence are greater than 1?
+23254 The epression is 1337(-½)n and you want this > 1
The negative sign flips the answer from negative to positive, to negative, etc.
I'm going to ignore the negative sign, but realize that my answer will be two times too large, because it will include both the positive and the negative answers.
1337(½)n > 1 ---> (½)n > 1/1337 ---> 2n < 1337 ---> n = 10
But, this contains both the negative and the positive answers, so, removing the negative solutions, n = 5.
+23254 The epression is 1337(-½)n and you want this > 1
The negative sign flips the answer from negative to positive, to negative, etc.
I'm going to ignore the negative sign, but realize that my answer will be two times too large, because it will include both the positive and the negative answers.
1337(½)n > 1 ---> (½)n > 1/1337 ---> 2n < 1337 ---> n = 10
But, this contains both the negative and the positive answers, so, removing the negative solutions, n = 5.
