# Virus

We have a virus that lives one hour. Every half hour produce two child viruses. What will be the living population of the virus after 3.5 hours?

Correct result:

x =  1224

#### Solution:

$0.0 h \ @ \ n = 1 \ \\ 0.5 h \ @ \ n = 1 + 2 - 0= 3 \ \\ 1.0 h \ @ \ n = 3 + 6 - 1= 8 \ \\ 1.5 h \ @ \ n = 8 + 16 - 2= 22 \ \\ 2.0 h \ @ \ n = 22 + 44 - 6= 60 \ \\ 2.5 h \ @ \ n = 60 + 120 - 16= 164 \ \\ 3.0 h \ @ \ n = 164 + 328 - 44= 448 \ \\ 3.5 h \ @ \ n = 448 + 896 - 120= 1224 \ \\ x=1224$

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