Answer:
The period stays the same.
Explanation:
The period "T" of a oscilating system composed by a amss on a spring is described by the following equation:
[tex]T=2\pi *\sqrt{\frac{m}{k}}[/tex]
Where 'm' is the mass and 'k'is the spring constant.
From the equation, changes in amplitude don't interfere in the period. If both 'm' and 'k' are doubled:
[tex]T'= 2\pi *\sqrt{\frac{2m}{2k}}\\ T'= 2\pi *\sqrt{\frac{m}{k}}\\T' = T[/tex]
The period stays the same.