Infinite sum help

panagiotis567

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Sep 22, 2017
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i don't know how to express this infinite sum: 1/2 + 1/2 * 1/3 + (1/2 * 1/3) * 1/3 + ((1/2 * 1/3) * 1/3) * 1/3 + ...
How can i do that?
 
Do you recognize the KIND of series this is? It's famous!

Once you recognize it, the sum is well known.
 
wait , so there are different kinds of series'?
Yes...... some of those are:

Arithmetic, Geometric, Harmonic, etc.

Can you describe (mathematically) the type of series that you are aware of?
 
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i don't know how to express this infinite sum: 1/2 + 1/2 * 1/3 + (1/2 * 1/3) * 1/3 + ((1/2 * 1/3) * 1/3) * 1/3 + ...
How can i do that?

1/2 + 1/2 * 1/3 + (1/2 * 1/3) * 1/3 + ((1/2 * 1/3) * 1/3) * 1/3 + ... = 1/2*(1/3)^0 + 1/2 * (1/3)^1 + 1/2 * (1/3)^2 + 1/2 * (1/3)^3 + ...
 
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