Case 1: You add 1 + 2 + 4 + 8 + 16 and so one forever - we call that infinity.
Case 2: You add 1 + 1/2 + 1/4 + 1/8 + 1/16 forever.
The result for Case 2 seems like it should be less than Case 1. However, in the Case 2, you never stop adding numbers onto the result so although the first case may get bigger faster, will they not have the same value of infinity in the end?
Our minds struggle to comprehend adding numbers forever but to sum up I think that these two values of infinity are equal.
Case 2: You add 1 + 1/2 + 1/4 + 1/8 + 1/16 forever.
The result for Case 2 seems like it should be less than Case 1. However, in the Case 2, you never stop adding numbers onto the result so although the first case may get bigger faster, will they not have the same value of infinity in the end?
Our minds struggle to comprehend adding numbers forever but to sum up I think that these two values of infinity are equal.