An interesting geometric series. (English) Zbl 07921354
Summary: We present a visual proof that \(\sum_{n = 1}^\infty ( \frac{1}{ \sqrt{2}} )^n=1+\sqrt{2} \).
MSC:
97I30 | Sequences and series (educational aspects) |
40A25 | Approximation to limiting values (summation of series, etc.) |