How Much Work is Required to Stretch a Series of Strings?

[BraedenP]

Homework Statement

Given the constants $$k_1$$ and $$k_2$$ and distance $$x$$, determine how much work is required to stretch the spring $$x$$ from equilibrium position.

Homework Equations

$$W=\frac{1}{2}kx^2$$

The Attempt at a Solution

All I need to determine is what my value is going to be for k. Am I right in calculating that k for the entire system of two springs will be $$\frac{1}{\frac{1}{k_1}+\frac{1}{k_2}}$$?

If so, then I should be able to answer my question.

 

[rock.freak667]

Yes that would be correct.