You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**thelightiger****Guest**

Find the sum and provide your answer in a fraction

1+i/2-1/4-i/8+1/16+i/32-...

This is a geometric series.

What is its common ratio?

What is the formula for the sum of a geometric series?

**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

Offline

**George,Y****Member**- Registered: 2006-03-12
- Posts: 1,320

Note the common ratio is a complex number.

**X'(y-Xβ)=0**

Offline

**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 224
- Website

George,Y wrote:

Note the common ratio is a complex number.

It still works, provided the modulus of the common ratio is less than 1.

Offline

Pages: **1**