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#1 2018-01-12 10:00:22

thelightiger
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Arithmetic and Geometric Sequences

Find the sum and provide your answer in a fraction
1+i/2-1/4-i/8+1/16+i/32-...

#2 2018-01-12 10:19:39

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,154
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Re: Arithmetic and Geometric Sequences

This is a geometric series.

What is its common ratio?

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

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#3 2018-01-13 22:58:26

George,Y
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Registered: 2006-03-12
Posts: 1,313

Re: Arithmetic and Geometric Sequences

Note the common ratio is a complex number.


X'(y-Xβ)=0

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#4 2018-01-13 23:47:00

Alg Num Theory
Member
Registered: 2017-11-24
Posts: 26
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Re: Arithmetic and Geometric Sequences

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.

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