A material transmutes 50% of its mass to another element every 10 years due to radioactive decay. Let Mn be the mass of the radioactive material at the end of the nth decade, where the initial mass of the material is Mo = 40 g. (a) Write out the first five terms of the sequence. (b) Find an explicit formula for the terms of the sequence. (c) Estimate the limit of the sequence or state that it does not exist.

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