Joseph D. answered • 8d

Algebra 1 Tutor with the help you need.

Hi Svetlana N.,

With the recursive formula of a_{n} = a_{n-1} - 12, and a_{0} = 84;

For:

n = 1: a_{1} = a_{0} - 12 = 84 - 12 = 72

n = 2: a_{2} = a_{1} - 12 = 72 - 12 = 60

n = 3: a_{3} = a_{2} - 12 = 60 - 12 = 48

n = 4: a_{4} = a_{3} - 12 = 48 - 12 = 36

n = 5: a_{5} = a_{4} - 12 = 36 - 12 = 24

∴ **a**_{5}** = 24**

I hope this helps, Joe.