Leonard Euler found the following series to be noteworthy because it is part of a process that can be used to approximate $\pi$ : $1-\frac{1}{3 \cdot 64}+\frac{1}{5 \cdot 64^{2}}-\frac{1}{7 \cdot 64^{3}}+\frac{1}{9 \cdot 64^{4}}-\ldots$
(a)Re-write this series in summation notation.
(b)Use an appropriate test to show that the series converges.

Question

Leonard Euler found the following series to be noteworthy because it is part of a process that can be used to approximate $\pi$ : $1-\frac{1}{3 \cdot 64}+\frac{1}{5 \cdot 64^{2}}-\frac{1}{7 \cdot 64^{3}}+\frac{1}{9 \cdot 64^{4}}-\ldots$ 
(a)Re-write this series in summation notation.
(b)Use an appropriate test to show that the series converges.

Quizplus · Accepted Answer

The Answer of Leonard Euler found the following series to be noteworthy because it is part of a process that can be used to approximate $\pi$ : $1-\frac{1}{3 \cdot 64}+\frac{1}{5 \cdot 64^{2}}-\frac{1}{7 \cdot 64^{3}}+\frac{1}{9 \cdot 64^{4}}-\ldots$ 
(a)Re-write this series in summation notation.
(b)Use an appropriate test to show that the series converges.

Leonard Euler Found the Following Series to Be Noteworthy Because π\piπ

Leonard Euler Found the Following Series to Be Noteworthy Because $\pi$