Find the Sum of the Infinite Geometric Series$\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$

Question

Examlex · Accepted Answer

The Answer of Find the Sum of the Infinite Geometric Series$\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$

Find the Sum of the Infinite Geometric Series $\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$

Definitions:

Find the Sum of the Infinite Geometric Series 22+1+1−2+12+⋯\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots2​2​+1+−2​1​+21​+⋯

Definitions:

Find the Sum of the Infinite Geometric Series $\frac { 2 } { \sqrt { 2 } } + 1 + \frac { 1 } { - \sqrt { 2 } } + \frac { 1 } { 2 } + \cdots$