What is the sum as n approaches infinity of ? Sorry I don't know how to write the Summation sign with the infinity symbol at the top and the r = 1 at the bottom of the summation sign in LaTeX.
What is the sum as n approaches infinity of ? Sorry I don't know how to write the Summation sign with the infinity symbol at the top and the r = 1 at the bottom of the summation sign in LaTeX.
Hello mark1950You want to know the answer to the summation .
Let's put the first few values of in:
which you may now recognise as a Geometric Progression (or Series) whose first term, , and common ratio . The sum to infinity of such a series is . So in this case:
Grandad