# Thread: Can anyone solve this using reccurance relation!!!!!

1. ## Can anyone solve this using reccurance relation!!!!!

1. A nuclear reactor has created 18 grams
of a particular radioactive isotope. Every
hour 1% of a radioactive isotope decays.

a) Set up a recurrence relation for the
amount of thus isotope left after
n

hours.

b) What are the initial conditions for the
recurrence relation in part (a)?

c) Solve this recurrence relation.

2. Hello, Jay dee!

This one is quite simple . . .

1. A nuclear reactor has created 18 grams of a particular radioactive isotope.
Every hour 1% of a radioactive isotope decays.

a) Set up a recurrence relation for the amount of thus isotope left after $n$ hours.
$a_n \;=\;0.99 a_{n-1}$

b) What are the initial conditions for the recurrence relation in part (a)?
$a_0 = 18$

c) Solve this recurrence relation.
$a_n \;=\;0.99^n(18)$

,

### 2. a nuclear reactor has created 18 grams of a particular radioactive isotope. every hour 1% of this radioactive isotope decays.

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