  We study the frustrated spin-$\frac{1}{2}$ model consisting of a linear chain
of triangles with ferro (F)- and antiferromagnetic (AF) interactions connected
by ferromagnetic interactions (triangles chain). The ground state phase diagram
as a function of the frustration parameter (a ratio of F and AF interactions)
and the interaction between triangles consists of the ferromagnetic, two
ferrimagnetic and the singlet phases. We study the magnetic properties in these
phases and analyze the magnetization curves. We show that there are the
magnetization plateau in the singlet phase and the magnetization jumps in some
region of this phase. We study the low-thermodynamics and its relation to the
specific structure of the excitation spectrum of the triangle chain.
