Bacterial Progressions

Algebra Level 2

Starting on 1st day with 1 organism of type A. Organism of type A multiply themselves each day, such that next day, thrice as many organisms are present. However, one of the organism underwent a mutation on the 3rd day and multiplied only twice a day. How many organisms are there at the end of a week from the starting, assuming that mutated organisms cannot produce organisms of type A and no further mutations take place.

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