Calculating amplitude after 50 oscillations

[marshall104]

Homework Statement

An oscillator with a mass of 600 g and a period of 1.20 s has an amplitude that decreases by 2.50% during each complete oscillation. If the initial amplitude is 6.40 cm, what will be the amplitude after 50.0 oscillations?

Homework Equations

How do I approach this problem. I am so confused

Ive been using xmax=Ae(-t/2x)

with no luck. any help would be great

The Attempt at a Solution

m=600g
T=1.2s
amplitude decreases by 2.5%
I think my problem is I don't understand were xmax is coming from or even how to find it. A hint is great!

Thanks.

 

[ideasrule]

After one oscillation, what percentage of the initial amplitude will the actual amplitude be? Call this percentage k. After one oscillation, A=kAi. After two, A=k*k*Ai. After 5, A=k*k*k*k*k*Ai. What's the general formula for A in terms of Ai?