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In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 10% per day. Write a recursive formula to represent the mass of the radioactive sample on the day of the experiment.

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okpalawalter8

The recursive formula is mathematically given as

a_n=1266.77e^n

What is the recursive formula?

Generally, the equation for the decay is  mathematically given as

[tex]at=a_oe^{-\lambda t}[/tex]

Hence

a1=1400e^{-0.1 (1)}

In conclusion,

[tex]a_n=1400e^{-0.1 (n)}\\\\a_n=1266.77e^n[/tex]

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