Changes

:<math>\geq 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{4}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\dots</math>

:<math>\geq 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{4}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\frac{1}{8}+\dots</math>

:<math>=1+\frac{1}{2}+\frac{1}{2}+\dots</math>

:<math>=1+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\dots</math>

Adding together an infinte string of halves will not give you a finite number so this sequence is said to '''diverge'''.

Adding together an infinte string of halves will not give you a finite number so this sequence is said to '''diverge'''.