In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the su

Question

2 years ago

7

In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the su

bstance 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.

Mathematics

1 answer:

strojnjashka [21] · Answer 1 · 2023-06-15T16:44:57+03:00

strojnjashka [21]2 years ago

7 0

The recursive formula is mathematically given as

a_n=1266.77e^n

<h3>What is the recursive formula?</h3>

Generally, the equation for the decay is mathematically given as

$at=a_oe^{-\lambda t}$

Hence

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

In conclusion,

$a_n=1400e^{-0.1 (n)}\\\\a_n=1266.77e^n$