Let the following T-periodic signal:

i think that each sub-signal is $x(t) = A \cdot tri_{\frac{T}{2}}(t)$ but i dont know how to make it periodic like in each interval of length T, we get the same behavior but the triangular function is only non-zero in the interval $ -T/2 \leq t \leq T/2 $ any hints on how to approach this type problem?
That is called sawtooth wave, appearently. In Wikipedia’s page, you can find its Fourier series.