3
$\begingroup$

What is the pattern in the following?

  • Sum to $n$ terms of the series: $$ \frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{15}{16} + \cdots$$
  • 5
    Hint: The $k$th term is $1-\frac1{2^k}$.2012-06-03

3 Answers 3